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164722356032 = 26131491328749
BaseRepresentation
bin1001100101101000110…
…1111010111101000000
3120202011210011200122012
42121122031322331000
510144322410343112
6203401123432052
714620654632023
oct2313215727500
9522153150565
10164722356032
1163949526143
1227b11225628
13126c1727330
147d88b811ba
15444134e022
hex265a37af40

164722356032 has 56 divisors (see below), whose sum is σ = 354377625000. Its totient is φ = 75515406336.

The previous prime is 164722355983. The next prime is 164722356049. The reversal of 164722356032 is 230653227461.

It is a happy number.

164722356032 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4036823296 + 160685532736 = 63536^2 + 400856^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540407 + ... + 788342.

It is an arithmetic number, because the mean of its divisors is an integer number (6328171875).

Almost surely, 2164722356032 is an apocalyptic number.

It is an amenable number.

164722356032 is an abundant number, since it is smaller than the sum of its proper divisors (189655268968).

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

164722356032 is a wasteful number, since it uses less digits than its factorization.

164722356032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328923 (or 1328913 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 164722356032 in words is "one hundred sixty-four billion, seven hundred twenty-two million, three hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 149 208 298 416 596 832 1192 1937 2384 3874 4768 7748 9536 15496 30992 61984 123968 1328749 2657498 5314996 10629992 17273737 21259984 34547474 42519968 69094948 85039936 138189896 197983601 276379792 395967202 552759584 791934404 1105519168 1583868808 2573786813 3167737616 5147573626 6335475232 10295147252 12670950464 20590294504 41180589008 82361178016 164722356032