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51487151040 = 263551331253
BaseRepresentation
bin101111111100110111…
…111001001111000000
311220220020011021100000
4233330313321033000
51320421202313130
635353004200000
73501620364033
oct577467711700
9156806137300
1051487151040
111a9211776a6
129b8ab39000
134b16bb3760
1426c604b01a
151515202260
hexbfcdf93c0

51487151040 has 1008 divisors, whose sum is σ = 208222376544. Its totient is φ = 12033515520.

The previous prime is 51487151033. The next prime is 51487151041. The reversal of 51487151040 is 4015178415.

51487151040 is a `hidden beast` number, since 514 + 87 + 15 + 10 + 40 = 666.

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 = 51487150986 and 51487151004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51487151041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 971455654 + ... + 971455706.

It is an arithmetic number, because the mean of its divisors is an integer number (206569818).

Almost surely, 251487151040 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 51487151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104111188272).

51487151040 is an abundant number, since it is smaller than the sum of its proper divisors (156735225504).

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

51487151040 is a wasteful number, since it uses less digits than its factorization.

51487151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 51487151040 in words is "fifty-one billion, four hundred eighty-seven million, one hundred fifty-one thousand, forty".