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245292684166656 = 2932717499896447
BaseRepresentation
bin110111110001011110100111…
…010011100100011000000000
31012011111202021220120101100200
4313301132213103210120000
5224122333404121313111
62225405523051445200
7102444545244454020
oct6761364723443000
91164452256511320
10245292684166656
1171181052499315
1223617447756800
13a6b4001b90a19
14448032d135a80
151d5595b787256
hexdf17a74e4600

245292684166656 has 480 divisors, whose sum is σ = 858374060544000. Its totient is φ = 65828798005248.

The previous prime is 245292684166637. The next prime is 245292684166679. The reversal of 245292684166656 is 656661486292542.

It is a super-2 number, since 2×2452926841666562 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273179425 + ... + 274075871.

It is an arithmetic number, because the mean of its divisors is an integer number (1788279292800).

Almost surely, 2245292684166656 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 245292684166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429187030272000).

245292684166656 is an abundant number, since it is smaller than the sum of its proper divisors (613081376377344).

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

245292684166656 is a wasteful number, since it uses less digits than its factorization.

245292684166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896994 (or 896975 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 72.

The spelling of 245292684166656 in words is "two hundred forty-five trillion, two hundred ninety-two billion, six hundred eighty-four million, one hundred sixty-six thousand, six hundred fifty-six".