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51269531040 = 25335721331601
BaseRepresentation
bin101111101111111001…
…101111010110100000
311220100001200000211000
4233233321233112200
51314444444443130
635315231552000
73463335552300
oct575771572640
9156301600730
1051269531040
111a81a34a562
129b2a08b600
134ab0a9a420
1426a519d600
151501067260
hexbefe6f5a0

51269531040 has 1152 divisors, whose sum is σ = 232434800640. Its totient is φ = 10450944000.

The previous prime is 51269531029. The next prime is 51269531051. The reversal of 51269531040 is 4013596215.

51269531040 is a `hidden beast` number, since 512 + 6 + 95 + 3 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (51269531029) and next prime (51269531051).

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 = 51269530986 and 51269531004.

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 191 ways as a sum of consecutive naturals, for example, 85306740 + ... + 85307340.

It is an arithmetic number, because the mean of its divisors is an integer number (201766320).

Almost surely, 251269531040 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 51269531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116217400320).

51269531040 is an abundant number, since it is smaller than the sum of its proper divisors (181165269600).

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

51269531040 is a wasteful number, since it uses less digits than its factorization.

51269531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 51269531040 in words is "fifty-one billion, two hundred sixty-nine million, five hundred thirty-one thousand, forty".