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2421595995156 = 22321340122815657
BaseRepresentation
bin100011001111010010010…
…111100111110000010100
322120111120012002102222100
4203033102113213300110
5304133412033321111
65052244342202100
7336645256223052
oct43172227476024
98514505072870
102421595995156
11853aa1898a68
123313a3723330
13147481110270
14852c4ca91d2
1542ed07ee756
hex233d25e7c14

2421595995156 has 144 divisors (see below), whose sum is σ = 6612627582288. Its totient is φ = 742791168000.

The previous prime is 2421595995151. The next prime is 2421595995227. The reversal of 2421595995156 is 6515995951242.

2421595995156 is a `hidden beast` number, since 2 + 4 + 21 + 5 + 9 + 5 + 99 + 515 + 6 = 666.

2421595995156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2743664400 + 2418852330756 = 52380^2 + 1555266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2421595995093 and 2421595995102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421595995151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428067880 + ... + 428073536.

It is an arithmetic number, because the mean of its divisors is an integer number (45921024877).

Almost surely, 22421595995156 is an apocalyptic number.

2421595995156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421595995156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306313791144).

2421595995156 is an abundant number, since it is smaller than the sum of its proper divisors (4191031587132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2421595995156 is a wasteful number, since it uses less digits than its factorization.

2421595995156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 8357 counting only the distinct ones).

The product of its digits is 43740000, while the sum is 63.

The spelling of 2421595995156 in words is "two trillion, four hundred twenty-one billion, five hundred ninety-five million, nine hundred ninety-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 401 468 802 1203 1604 2281 2406 3609 4562 4812 5213 5657 6843 7218 9124 10426 11314 13686 14436 15639 16971 20529 20852 22628 27372 29653 31278 33942 41058 46917 50913 59306 62556 67884 73541 82116 88959 93834 101826 118612 147082 177918 187668 203652 220623 266877 294164 355836 441246 533754 661869 882492 914681 1067508 1323738 1829362 2268457 2647476 2744043 3658724 4536914 5488086 6805371 8232129 9073828 10976172 11890853 12903617 13610742 16464258 20416113 23781706 25807234 27221484 29489941 32928516 35672559 38710851 40832226 47563412 51614468 58979882 71345118 77421702 81664452 88469823 107017677 116132553 117959764 142690236 154843404 167747021 176939646 214035354 232265106 265409469 335494042 353879292 428070708 464530212 503241063 530818938 670988084 1006482126 1061637876 1509723189 2012964252 3019446378 5174350417 6038892756 10348700834 15523051251 20697401668 31046102502 46569153753 62092205004 67266555421 93138307506 134533110842 186276615012 201799666263 269066221684 403599332526 605398998789 807198665052 1210797997578 2421595995156