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51113192832 = 273413231941
BaseRepresentation
bin101111100110100101…
…010110110110000000
311212221011111020010000
4233212211112312000
51314134434132312
635251525040000
73456426653622
oct574645266600
9155834436100
1051113192832
111a74a079329
129aa5856000
134a8758c600
14268c504c12
1514e2484adc
hexbe6956d80

51113192832 has 480 divisors, whose sum is σ = 170207040960. Its totient is φ = 15203635200.

The previous prime is 51113192831. The next prime is 51113192849. The reversal of 51113192832 is 23829131115.

51113192832 is a `hidden beast` number, since 51 + 11 + 319 + 283 + 2 = 666.

51113192832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×511131928323 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51113192831) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54317482 + ... + 54318422.

It is an arithmetic number, because the mean of its divisors is an integer number (354598002).

Almost surely, 251113192832 is an apocalyptic number.

51113192832 is a gapful number since it is divisible by the number (52) 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 51113192832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85103520480).

51113192832 is an abundant number, since it is smaller than the sum of its proper divisors (119093848128).

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

51113192832 is a wasteful number, since it uses less digits than its factorization.

51113192832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 990 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 51113192832 in words is "fifty-one billion, one hundred thirteen million, one hundred ninety-two thousand, eight hundred thirty-two".