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18426976164 = 22328944912809
BaseRepresentation
bin10001001010010101…
…010101011110100100
31202120012121101012200
4101022111111132210
5300214301214124
612244254014500
71221431466402
oct211225253644
952505541180
1018426976164
1178a6602a23
1236a31a7430
1319788286bc
14c6b414472
1572cae9bc9
hex44a5557a4

18426976164 has 72 divisors (see below), whose sum is σ = 47211255000. Its totient is φ = 6059311104.

The previous prime is 18426976157. The next prime is 18426976189. The reversal of 18426976164 is 46167962481.

18426976164 is a `hidden beast` number, since 18 + 4 + 2 + 6 + 9 + 7 + 616 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 644753664 + 17782222500 = 25392^2 + 133350^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18426976164.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432192 + ... + 1445000.

It is an arithmetic number, because the mean of its divisors is an integer number (655711875).

Almost surely, 218426976164 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 18426976164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23605627500).

18426976164 is an abundant number, since it is smaller than the sum of its proper divisors (28784278836).

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

18426976164 is a wasteful number, since it uses less digits than its factorization.

18426976164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13357 (or 13352 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 18426976164 in words is "eighteen billion, four hundred twenty-six million, nine hundred seventy-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 449 534 801 898 1068 1347 1602 1796 2694 3204 4041 5388 8082 12809 16164 25618 38427 39961 51236 76854 79922 115281 119883 153708 159844 230562 239766 359649 461124 479532 719298 1140001 1438596 2280002 3420003 4560004 5751241 6840006 10260009 11502482 13680012 17253723 20520018 23004964 34507446 41040036 51761169 69014892 103522338 207044676 511860449 1023720898 1535581347 2047441796 3071162694 4606744041 6142325388 9213488082 18426976164