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51437340144 = 2433119067917
BaseRepresentation
bin101111111001111001…
…111000010111110000
311220202202102121122000
4233321321320113300
51320320424341034
635344024414000
73500444114541
oct577171702760
9156682377560
1051437340144
111a8a6045a73
129b76317300
134b09793458
1426bd5a24c8
151510b63599
hexbf9e785f0

51437340144 has 40 divisors (see below), whose sum is σ = 147644218320. Its totient is φ = 17145779904.

The previous prime is 51437340091. The next prime is 51437340161. The reversal of 51437340144 is 44104373415.

51437340144 is a `hidden beast` number, since 5 + 143 + 73 + 401 + 44 = 666.

It is a super-2 number, since 2×514373401442 (a number of 22 digits) contains 22 as substring.

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 = 51437340099 and 51437340108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59533527 + ... + 59534390.

It is an arithmetic number, because the mean of its divisors is an integer number (3691105458).

Almost surely, 251437340144 is an apocalyptic number.

51437340144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

51437340144 is an abundant number, since it is smaller than the sum of its proper divisors (96206878176).

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

51437340144 is a wasteful number, since it uses less digits than its factorization.

51437340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119067934 (or 119067922 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 51437340144 in words is "fifty-one billion, four hundred thirty-seven million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 119067917 238135834 357203751 476271668 714407502 952543336 1071611253 1428815004 1905086672 2143222506 2857630008 3214833759 4286445012 5715260016 6429667518 8572890024 12859335036 17145780048 25718670072 51437340144