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51125131104000 = 283531972703317
BaseRepresentation
bin10111001111111011111110…
…10001110100111100000000
320201000111220021211101120020
423213331333101310330000
523200113232030312000
6300422321101413440
713524445260126342
oct1347757721647400
9221014807741506
1051125131104000
1115321056751518
125898486b6a280
13226b104c48895
14c8a680625292
155d9d36a7dba0
hex2e7f7f474f00

51125131104000 has 288 divisors, whose sum is σ = 170674176568896. Its totient is φ = 13564158361600.

The previous prime is 51125131103989. The next prime is 51125131104049. The reversal of 51125131104000 is 40113152115.

It is a super-2 number, since 2×511251311040002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17560342 + ... + 20263658.

It is an arithmetic number, because the mean of its divisors is an integer number (592618668642).

Almost surely, 251125131104000 is an apocalyptic number.

51125131104000 is a gapful number since it is divisible by the number (50) 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 51125131104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85337088284448).

51125131104000 is an abundant number, since it is smaller than the sum of its proper divisors (119549045464896).

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

51125131104000 is a wasteful number, since it uses less digits than its factorization.

51125131104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703548 (or 2703524 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 51125131104000 its reverse (40113152115), we get a palindrome (51165244256115).

The spelling of 51125131104000 in words is "fifty-one trillion, one hundred twenty-five billion, one hundred thirty-one million, one hundred four thousand".