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51913318400 = 2135223103107
BaseRepresentation
bin110000010110010001…
…100110000000000000
311221222221001211001022
4300112101212000000
51322304302142100
635503150325012
73515313632336
oct602621460000
9157887054038
1051913318400
112001a795529
12a0897b9768
134b842876a8
1427268a3b56
15153c833e85
hexc16466000

51913318400 has 336 divisors, whose sum is σ = 136906308864. Its totient is φ = 19485818880.

The previous prime is 51913318397. The next prime is 51913318409. The reversal of 51913318400 is 481331915.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51913318409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485171147 + ... + 485171253.

Almost surely, 251913318400 is an apocalyptic number.

51913318400 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 51913318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68453154432).

51913318400 is an abundant number, since it is smaller than the sum of its proper divisors (84992990464).

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

51913318400 is a wasteful number, since it uses less digits than its factorization.

51913318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 51913318400 in words is "fifty-one billion, nine hundred thirteen million, three hundred eighteen thousand, four hundred".