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2475680838624 = 253373314632671
BaseRepresentation
bin100100000001101010000…
…100111011001111100000
322202200011110021011102000
4210001222010323033200
5311030143243313444
65133151224124000
7343601451630330
oct44015204731740
98680143234360
102475680838624
11874a26324404
1233b978606600
1314c5c0239516
1487b75d170c0
15445e8ac8469
hex2406a13b3e0

2475680838624 has 384 divisors, whose sum is σ = 8298183720960. Its totient is φ = 703413849600.

The previous prime is 2475680838623. The next prime is 2475680838647. The reversal of 2475680838624 is 4268380865742.

2475680838624 is a `hidden beast` number, since 2 + 4 + 7 + 568 + 0 + 8 + 3 + 8 + 62 + 4 = 666.

It is a super-2 number, since 2×24756808386242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2475680838623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 926872809 + ... + 926875479.

It is an arithmetic number, because the mean of its divisors is an integer number (21609853440).

Almost surely, 22475680838624 is an apocalyptic number.

2475680838624 is a gapful number since it is divisible by the number (24) 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 2475680838624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149091860480).

2475680838624 is an abundant number, since it is smaller than the sum of its proper divisors (5822502882336).

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

2475680838624 is a wasteful number, since it uses less digits than its factorization.

2475680838624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 2475680838624 in words is "two trillion, four hundred seventy-five billion, six hundred eighty million, eight hundred thirty-eight thousand, six hundred twenty-four".