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172942390656 = 2733725471867
BaseRepresentation
bin1010000100010000101…
…0110111010110000000
3121112101122121201022000
42201010022313112000
510313141223000111
6211240523344000
715331450031400
oct2410412672600
9545348551260
10172942390656
116738751a892
1229626082000
131340171a849
148528764800
154772d0ec56
hex28442b7580

172942390656 has 384 divisors, whose sum is σ = 595158249600. Its totient is φ = 49295361024.

The previous prime is 172942390639. The next prime is 172942390661. The reversal of 172942390656 is 656093249271.

172942390656 is a `hidden beast` number, since 1 + 72 + 9 + 423 + 90 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1729423906562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92630235 + ... + 92632101.

It is an arithmetic number, because the mean of its divisors is an integer number (1549891275).

Almost surely, 2172942390656 is an apocalyptic number.

172942390656 is a gapful number since it is divisible by the number (16) 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 172942390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297579124800).

172942390656 is an abundant number, since it is smaller than the sum of its proper divisors (422215858944).

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

172942390656 is a wasteful number, since it uses less digits than its factorization.

172942390656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 172942390656 in words is "one hundred seventy-two billion, nine hundred forty-two million, three hundred ninety thousand, six hundred fifty-six".