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51134113124640 = 253257132913455779
BaseRepresentation
bin10111010000001100101101…
…01001100001000100100000
320201001101002021002022112100
423220012112221201010200
523200240130424442030
6300430404241330400
713525213664055420
oct1350062651410440
9221041067068470
1051134113124640
1115324945882577
12589a173036a00
13226bc06a723b0
14c8ac934ba480
155da1b03a8360
hex2e8196a61120

51134113124640 has 576 divisors, whose sum is σ = 222168921811200. Its totient is φ = 10416709804032.

The previous prime is 51134113124587. The next prime is 51134113124683. The reversal of 51134113124640 is 4642131143115.

51134113124640 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 4 + 1 + 1 + 3 + 1 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×511341131246402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51134113124595 and 51134113124604.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2927730 + ... + 10528049.

It is an arithmetic number, because the mean of its divisors is an integer number (385709933700).

Almost surely, 251134113124640 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 51134113124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111084460905600).

51134113124640 is an abundant number, since it is smaller than the sum of its proper divisors (171034808686560).

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

51134113124640 is a wasteful number, since it uses less digits than its factorization.

51134113124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13455849 (or 13455838 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 51134113124640 its reverse (4642131143115), we get a palindrome (55776244267755).

The spelling of 51134113124640 in words is "fifty-one trillion, one hundred thirty-four billion, one hundred thirteen million, one hundred twenty-four thousand, six hundred forty".