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51157054152252 = 223237137768736469
BaseRepresentation
bin10111010000110111011100…
…00010100101111000111100
320201010120022001200021012200
423220123232002211320330
523201124121330333002
6300445120511231500
713526655330431016
oct1350335602457074
9221116261607180
1051157054152252
1115333648453124
1258a26b5b18590
132271121854249
14c8c02c2171b6
155daaa4419b1c
hex2e86ee0a5e3c

51157054152252 has 144 divisors (see below), whose sum is σ = 133799106517440. Its totient is φ = 16467777156096.

The previous prime is 51157054152199. The next prime is 51157054152271. The reversal of 51157054152252 is 25225145075115.

51157054152252 is a `hidden beast` number, since 5 + 1 + 1 + 5 + 7 + 0 + 5 + 415 + 225 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51157054152198 and 51157054152207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1402736274 + ... + 1402772742.

Almost surely, 251157054152252 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 51157054152252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66899553258720).

51157054152252 is an abundant number, since it is smaller than the sum of its proper divisors (82642052365188).

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

51157054152252 is a wasteful number, since it uses less digits than its factorization.

51157054152252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44340 (or 44335 counting only the distinct ones).

The product of its (nonzero) digits is 700000, while the sum is 45.

The spelling of 51157054152252 in words is "fifty-one trillion, one hundred fifty-seven billion, fifty-four million, one hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 137 148 222 274 333 411 444 548 666 822 1233 1332 1644 2466 4932 5069 7687 10138 15207 15374 20276 23061 30414 30748 36469 45621 46122 60828 69183 72938 91242 92244 109407 138366 145876 182484 218814 276732 284419 328221 437628 568838 656442 853257 1053119 1137676 1312884 1349353 1706514 2106238 2559771 2698706 3159357 3413028 4048059 4212476 4996253 5119542 5397412 6318714 8096118 9478071 9992506 10239084 12144177 12637428 14988759 16192236 18956142 19985012 24288354 29977518 37912284 38965403 44966277 48576708 59955036 77930806 89932554 116896209 155861612 179865108 184861361 233792418 280337203 350688627 369722722 467584836 554584083 560674406 701377254 739445444 841011609 1109168166 1121348812 1402754508 1663752249 1682023218 2218336332 2523034827 3327504498 3364046436 5046069654 6655008996 10092139308 10372476511 20744953022 31117429533 38406196811 41489906044 62234859066 76812393622 93352288599 115218590433 124469718132 153624787244 186704577198 230437180866 345655771299 373409154396 460874361732 691311542598 1382623085196 1421029282007 2842058564014 4263087846021 5684117128028 8526175692042 12789263538063 17052351384084 25578527076126 51157054152252