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51046714440 = 23325141796429
BaseRepresentation
bin101111100010100111…
…110000110001001000
311212202112101202220100
4233202213300301020
51314020424330230
635241152125400
73454661625231
oct574247606110
9155675352810
1051046714440
111a7155a3107
129a87536860
134a76884997
14268375c088
1514db702660
hexbe29f0c48

51046714440 has 48 divisors (see below), whose sum is σ = 165901823100. Its totient is φ = 13612457088.

The previous prime is 51046714423. The next prime is 51046714471. The reversal of 51046714440 is 4441764015.

It is a happy number.

51046714440 is a `hidden beast` number, since 5 + 10 + 467 + 144 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43981639524 + 7065074916 = 209718^2 + 84054^2 .

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 = 51046714395 and 51046714404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70897855 + ... + 70898574.

Almost surely, 251046714440 is an apocalyptic number.

It is an amenable number.

51046714440 is an abundant number, since it is smaller than the sum of its proper divisors (114855108660).

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

51046714440 is a wasteful number, since it uses less digits than its factorization.

51046714440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141796446 (or 141796439 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 51046714440 in words is "fifty-one billion, forty-six million, seven hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 141796429 283592858 425389287 567185716 708982145 850778574 1134371432 1276167861 1417964290 1701557148 2126946435 2552335722 2835928580 3403114296 4253892870 5104671444 5671857160 6380839305 8507785740 10209342888 12761678610 17015571480 25523357220 51046714440