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164926866432 = 2103361714843
BaseRepresentation
bin1001100110011001101…
…0000100010000000000
3120202201000222220011110
42121212122010100000
510200232234211212
6203433311043320
714626020143166
oct2314632042000
9522630886143
10164926866432
1163a43a098a9
1227b69810540
1312724c005c3
147da7db9236
154454299a3c
hex2666684400

164926866432 has 88 divisors (see below), whose sum is σ = 439741387296. Its totient is φ = 54956720128.

The previous prime is 164926866431. The next prime is 164926866437. The reversal of 164926866432 is 234668629461.

It is a super-3 number, since 3×1649268664323 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164926866431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11104003 + ... + 11118845.

Almost surely, 2164926866432 is an apocalyptic number.

164926866432 is a gapful number since it is divisible by the number (12) 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 164926866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219870693648).

164926866432 is an abundant number, since it is smaller than the sum of its proper divisors (274814520864).

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

164926866432 is a wasteful number, since it uses less digits than its factorization.

164926866432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18483 (or 18465 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 57.

The spelling of 164926866432 in words is "one hundred sixty-four billion, nine hundred twenty-six million, eight hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3617 7234 10851 14468 14843 21702 28936 29686 43404 44529 57872 59372 86808 89058 115744 118744 173616 178116 231488 237488 347232 356232 462976 474976 694464 712464 925952 949952 1388928 1424928 1851904 1899904 2777856 2849856 3703808 3799808 5555712 5699712 7599616 11111424 11399424 15199232 22798848 45597696 53687131 107374262 161061393 214748524 322122786 429497048 644245572 858994096 1288491144 1717988192 2576982288 3435976384 5153964576 6871952768 10307929152 13743905536 20615858304 27487811072 41231716608 54975622144 82463433216 164926866432