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10168426008 = 23321310999667
BaseRepresentation
bin10010111100001010…
…11101111000011000
3222020122200120011200
421132011131320120
5131311104113013
64401000354200
7506661123606
oct113605357030
928218616150
1010168426008
1143488a1a64
121b79475960
13c6086b230
146c6686876
153e7a7be73
hex25e15de18

10168426008 has 96 divisors (see below), whose sum is σ = 29930300400. Its totient is φ = 3100011264.

The previous prime is 10168426007. The next prime is 10168426057. The reversal of 10168426008 is 80062486101.

10168426008 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 8 + 42 + 600 + 8 = 666.

10168426008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10168426001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52191 + ... + 151857.

Almost surely, 210168426008 is an apocalyptic number.

10168426008 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 10168426008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965150200).

10168426008 is an abundant number, since it is smaller than the sum of its proper divisors (19761874392).

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

10168426008 is a wasteful number, since it uses less digits than its factorization.

10168426008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99801 (or 99794 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10168426008 in words is "ten billion, one hundred sixty-eight million, four hundred twenty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 109 117 156 218 234 312 327 436 468 654 872 936 981 1308 1417 1962 2616 2834 3924 4251 5668 7848 8502 11336 12753 17004 25506 34008 51012 99667 102024 199334 299001 398668 598002 797336 897003 1196004 1295671 1794006 2392008 2591342 3588012 3887013 5182684 7176024 7774026 10365368 10863703 11661039 15548052 21727406 23322078 31096104 32591109 43454812 46644156 65182218 86909624 93288312 97773327 130364436 141228139 195546654 260728872 282456278 391093308 423684417 564912556 782186616 847368834 1129825112 1271053251 1694737668 2542106502 3389475336 5084213004 10168426008