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10045045008 = 243333170249
BaseRepresentation
bin10010101101011101…
…10011100100010000
3221221001112011021000
421112232303210100
5131033012420013
64340432102000
7503632321335
oct112656634420
927831464230
1010045045008
114295190a99
121b44094900
13c4112c41b
146b412a98c
153dbd09973
hex256bb3910

10045045008 has 80 divisors (see below), whose sum is σ = 28920520000. Its totient is φ = 3338184960.

The previous prime is 10045045007. The next prime is 10045045013. The reversal of 10045045008 is 80054054001.

10045045008 is a `hidden beast` number, since 100 + 4 + 50 + 4 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10045045007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107868 + ... + 178116.

It is an arithmetic number, because the mean of its divisors is an integer number (361506500).

Almost surely, 210045045008 is an apocalyptic number.

10045045008 is a gapful number since it is divisible by the number (18) 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 10045045008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14460260000).

10045045008 is an abundant number, since it is smaller than the sum of its proper divisors (18875474992).

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

10045045008 is a wasteful number, since it uses less digits than its factorization.

10045045008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70597 (or 70585 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10045045008 its reverse (80054054001), we get a palindrome (90099099009).

The spelling of 10045045008 in words is "ten billion, forty-five million, forty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 331 432 662 993 1324 1986 2648 2979 3972 5296 5958 7944 8937 11916 15888 17874 23832 35748 47664 70249 71496 140498 142992 210747 280996 421494 561992 632241 842988 1123984 1264482 1685976 1896723 2528964 3371952 3793446 5057928 7586892 10115856 15173784 23252419 30347568 46504838 69757257 93009676 139514514 186019352 209271771 279029028 372038704 418543542 558058056 627815313 837087084 1116116112 1255630626 1674174168 2511261252 3348348336 5022522504 10045045008