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51502381140 = 22357509240913
BaseRepresentation
bin101111111101110001…
…111111100001010100
311220221021211001002210
4233331301333201110
51320434102144030
635354310433420
73502164005460
oct577561774124
9156837731083
1051502381140
111a92982a261
129b94062870
134b1a0b6a52
1426c80934a0
15151670ebb0
hexbfdc7f854

51502381140 has 96 divisors (see below), whose sum is σ = 165132092160. Its totient is φ = 11748796416.

The previous prime is 51502381109. The next prime is 51502381157. The reversal of 51502381140 is 4118320515.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 51502381098 and 51502381107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93324 + ... + 334236.

It is an arithmetic number, because the mean of its divisors is an integer number (1720125960).

Almost surely, 251502381140 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 51502381140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82566046080).

51502381140 is an abundant number, since it is smaller than the sum of its proper divisors (113629711020).

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

51502381140 is a wasteful number, since it uses less digits than its factorization.

51502381140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241441 (or 241439 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 51502381140 in words is "fifty-one billion, five hundred two million, three hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 509 1018 1527 2036 2545 3054 3563 5090 6108 7126 7635 10180 10689 14252 15270 17815 21378 30540 35630 42756 53445 71260 106890 213780 240913 481826 722739 963652 1204565 1445478 1686391 2409130 2890956 3372782 3613695 4818260 5059173 6745564 7227390 8431955 10118346 14454780 16863910 20236692 25295865 33727820 50591730 101183460 122624717 245249434 367874151 490498868 613123585 735748302 858373019 1226247170 1471496604 1716746038 1839370755 2452494340 2575119057 3433492076 3678741510 4291865095 5150238114 7357483020 8583730190 10300476228 12875595285 17167460380 25751190570 51502381140