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2251345104552 = 2331921571655099
BaseRepresentation
bin100000110000101110101…
…000000000111010101000
321222020010010000002122110
4200300232220000322220
5243341223321321202
64442130442522320
7321440300433315
oct40605650007250
97866103002573
102251345104552
11798876689a95
123043aab063a0
131343bb1c12cb
147ad73ba3d0c
153d868e4626c
hex20c2ea00ea8

2251345104552 has 96 divisors (see below), whose sum is σ = 5978022588000. Its totient is φ = 706422307968.

The previous prime is 2251345104551. The next prime is 2251345104559. The reversal of 2251345104552 is 2554015431522.

It is a super-2 number, since 2×22513451045522 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2251345104552.

It is not an unprimeable number, because it can be changed into a prime (2251345104551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532699 + ... + 2187797.

It is an arithmetic number, because the mean of its divisors is an integer number (62271068625).

Almost surely, 22251345104552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251345104552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989011294000).

2251345104552 is an abundant number, since it is smaller than the sum of its proper divisors (3726677483448).

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

2251345104552 is a wasteful number, since it uses less digits than its factorization.

2251345104552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655303 (or 1655280 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 2251345104552 in words is "two trillion, two hundred fifty-one billion, three hundred forty-five million, one hundred four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 157 228 314 361 456 471 628 722 942 1083 1256 1444 1884 2166 2888 2983 3768 4332 5966 8664 8949 11932 17898 23864 35796 56677 71592 113354 170031 226708 340062 453416 680124 1360248 1655099 3310198 4965297 6620396 9930594 13240792 19861188 31446881 39722376 62893762 94340643 125787524 188681286 251575048 259850543 377362572 519701086 597490739 754725144 779551629 1039402172 1194981478 1559103258 1792472217 2078804344 2389962956 3118206516 3584944434 4779925912 4937160317 6236413032 7169888868 9874320634 14339777736 14811480951 19748641268 29622961902 39497282536 59245923804 93806046023 118491847608 187612092046 281418138069 375224184092 562836276138 750448368184 1125672552276 2251345104552