Search a number
-
+
2542088323008 = 263213339488291
BaseRepresentation
bin100100111111100000010…
…001010111111111000000
3100000000120111122220022200
4210333200101113333000
5313122144102314013
65223452543033200
7351442214136453
oct44774021277700
910000514586280
102542088323008
118a010364a303
1235081029b800
131559442c4590
148b07576b49a
15461d3b04e73
hex24fe0457fc0

2542088323008 has 84 divisors (see below), whose sum is σ = 7846932381288. Its totient is φ = 782181020160.

The previous prime is 2542088323001. The next prime is 2542088323009. The reversal of 2542088323008 is 8003238802452.

It is a happy number.

2542088323008 is a `hidden beast` number, since 2 + 542 + 0 + 8 + 83 + 23 + 0 + 0 + 8 = 666.

2542088323008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542088323001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169736658 + ... + 169751633.

It is an arithmetic number, because the mean of its divisors is an integer number (93415861682).

Almost surely, 22542088323008 is an apocalyptic number.

It is an amenable number.

2542088323008 is an abundant number, since it is smaller than the sum of its proper divisors (5304844058280).

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

2542088323008 is a wasteful number, since it uses less digits than its factorization.

2542088323008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339488322 (or 339488309 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2542088323008 in words is "two trillion, five hundred forty-two billion, eighty-eight million, three hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 339488291 678976582 1018464873 1357953164 2036929746 2715906328 3055394619 4073859492 4413347783 5431812656 6110789238 8147718984 8826695566 10863625312 12221578476 13240043349 16295437968 17653391132 21727250624 24443156952 26480086698 32590875936 35306782264 39720130047 48886313904 52960173396 65181751872 70613564528 79440260094 97772627808 105920346792 141227129056 158880520188 195545255616 211840693584 282454258112 317761040376 423681387168 635522080752 847362774336 1271044161504 2542088323008