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164906368 = 2711173677
BaseRepresentation
bin10011101010001…
…00010110000000
3102111022010000021
421311010112000
5314204000433
624210303224
74041452404
oct1165042600
9374263007
10164906368
11850a3660
1247287b14
132821aa43
1417c89104
15e72622d
hex9d44580

164906368 has 64 divisors (see below), whose sum is σ = 360994320. Its totient is φ = 74414080.

The previous prime is 164906359. The next prime is 164906369. The reversal of 164906368 is 863609461.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1649063682 = 54388220413902848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164906369) 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, 243246 + ... + 243922.

Almost surely, 2164906368 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 164906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180497160).

164906368 is an abundant number, since it is smaller than the sum of its proper divisors (196087952).

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

164906368 is a wasteful number, since it uses less digits than its factorization.

164906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 164906368 is about 12841.5874408112. The cubic root of 164906368 is about 548.3768874495.

The spelling of 164906368 in words is "one hundred sixty-four million, nine hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 173 176 346 352 677 692 704 1354 1384 1408 1903 2708 2768 3806 5416 5536 7447 7612 10832 11072 14894 15224 21664 22144 29788 30448 43328 59576 60896 86656 117121 119152 121792 234242 238304 243584 468484 476608 936968 953216 1288331 1873936 2576662 3747872 5153324 7495744 10306648 14991488 20613296 41226592 82453184 164906368