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51009537313196 = 22711229962353951
BaseRepresentation
bin10111001100100100101010…
…10110100000100110101100
320200121110112100201101202222
423212102111112200212230
523141220013023010241
6300253242525334512
713513213613123030
oct1346222526404654
9220543470641688
1051009537313196
1115287028aa7600
125879ba6a07438
1322602428897b7
14c84c365721c0
155d6d1d83ba4b
hex2e64955a09ac

51009537313196 has 144 divisors (see below), whose sum is σ = 116017655685120. Its totient is φ = 19186191024000.

The previous prime is 51009537313169. The next prime is 51009537313199. The reversal of 51009537313196 is 69131373590015.

It is not an unprimeable number, because it can be changed into a prime (51009537313199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945452021 + ... + 945505971.

It is an arithmetic number, because the mean of its divisors is an integer number (805678164480).

Almost surely, 251009537313196 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 51009537313196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58008827842560).

51009537313196 is an abundant number, since it is smaller than the sum of its proper divisors (65008118371924).

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

51009537313196 is a wasteful number, since it uses less digits than its factorization.

51009537313196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63636 (or 63623 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 53.

The spelling of 51009537313196 in words is "fifty-one trillion, nine billion, five hundred thirty-seven million, three hundred thirteen thousand, one hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 121 154 203 242 308 319 406 484 638 812 847 1276 1694 2233 3388 3509 4466 7018 8932 9623 14036 19246 24563 38492 49126 53951 67361 98252 105853 107902 134722 211706 215804 269444 279067 377657 423412 558134 593461 740971 755314 1116268 1164383 1186922 1481942 1510628 1564579 1953469 2328766 2373844 2963884 3069737 3129158 3906938 4154227 4657532 6139474 6258316 6528071 7813876 8150681 8308454 10952053 12278948 13056142 16301362 16616908 17210369 21488159 21904106 26112284 32602724 33767107 34420738 42976318 43808212 45696497 67534214 68841476 85952636 91392994 120472583 135068428 182785988 189314059 236369749 240945166 378628118 472739498 481890332 519170473 757256236 945478996 1038340946 1325198413 2076681892 2650396826 3634193311 5300793652 5710875203 7268386622 11421750406 14536773244 15055943717 22843500812 30111887434 39976126421 60223774868 62819627233 79952252842 105391606019 125639254466 159904505684 165615380887 210783212038 251278508932 331230761774 421566424076 439737390631 662461523548 879474781262 1159307666209 1758949562524 1821769189757 2318615332418 3643538379514 4637230664836 7287076759028 12752384328299 25504768656598 51009537313196