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51539077950 = 23521935415107
BaseRepresentation
bin101111111111111101…
…111110101100111110
311221000211212102122220
4233333331332230332
51321023000443300
635402101150210
73503120635323
oct577775765476
9157024772586
1051539077950
111a9485140a8
129ba43bb366
134b24894c39
1426cccc6b4a
151519a5cda0
hexbfff7eb3e

51539077950 has 96 divisors (see below), whose sum is σ = 134608467840. Its totient is φ = 13014172800.

The previous prime is 51539077943. The next prime is 51539077951. The reversal of 51539077950 is 5977093515.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51539077893 and 51539077902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51539077951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10089297 + ... + 10094403.

It is an arithmetic number, because the mean of its divisors is an integer number (1402171540).

Almost surely, 251539077950 is an apocalyptic number.

51539077950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51539077950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67304233920).

51539077950 is an abundant number, since it is smaller than the sum of its proper divisors (83069389890).

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

51539077950 is a wasteful number, since it uses less digits than its factorization.

51539077950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 1488375, while the sum is 51.

The spelling of 51539077950 in words is "fifty-one billion, five hundred thirty-nine million, seventy-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2850 3541 5107 7082 10214 10623 15321 17705 21246 25535 30642 35410 51070 53115 67279 76605 88525 97033 106230 127675 134558 153210 177050 194066 201837 255350 265575 291099 336395 383025 403674 485165 531150 582198 672790 766050 970330 1009185 1455495 1681975 2018370 2425825 2910990 3363950 4851650 5045925 7277475 10091850 14554950 18083887 36167774 54251661 90419435 108503322 180838870 271258305 343593853 452097175 542516610 687187706 904194350 1030781559 1356291525 1717969265 2061563118 2712583050 3435938530 5153907795 8589846325 10307815590 17179692650 25769538975 51539077950