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51499948096 = 2619214932
BaseRepresentation
bin101111111101101000…
…101101100001000000
311220221010020102121001
4233331220231201000
51320432441314341
635354142341344
73502134223162
oct577550554100
9156833212531
1051499948096
111a928418283
129b9328a854
134b1974448c
1426c7a1c932
1515163cdd31
hexbfda2d840

51499948096 has 63 divisors (see below), whose sum is σ = 107929284141. Its totient is φ = 24378372864.

The previous prime is 51499948063. The next prime is 51499948099. The reversal of 51499948096 is 69084999415.

The square root of 51499948096 is 226936.

It is a perfect power (a square), and thus also a powerful number.

51499948096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 44960961600 + 6538986496 = 212040^2 + 80864^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (51499948099) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34493526 + ... + 34495018.

Almost surely, 251499948096 is an apocalyptic number.

51499948096 is the 226936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51499948096

51499948096 is an abundant number, since it is smaller than the sum of its proper divisors (56429336045).

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

51499948096 is an frugal number, since it uses more digits than its factorization.

51499948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 64.

Multiplying 51499948096 by its sum of digits (64), we get a square (3295996678144 = 18154882).

51499948096 divided by its sum of digits (64) gives a square (804686689 = 283672).

The spelling of 51499948096 in words is "fifty-one billion, four hundred ninety-nine million, nine hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 1493 2888 2986 5776 5972 11552 11944 23104 23888 28367 47776 56734 95552 113468 226936 453872 538973 907744 1077946 1815488 2155892 2229049 4311784 4458098 8623568 8916196 17247136 17832392 34494272 35664784 42351931 71329568 84703862 142659136 169407724 338815448 677630896 804686689 1355261792 1609373378 2710523584 3218746756 6437493512 12874987024 25749974048 51499948096