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51260505144 = 233171512333571
BaseRepresentation
bin101111101111010111…
…010011110000111000
311220022102200110121120
4233233113103300320
51314440142131034
635314310305240
73463166050602
oct575727236070
9156272613546
1051260505144
111a815245242
129b27058220
134aabc5a064
1426a3cd0172
151500382c49
hexbef5d3c38

51260505144 has 128 divisors (see below), whose sum is σ = 137212807680. Its totient is φ = 15902208000.

The previous prime is 51260505113. The next prime is 51260505187. The reversal of 51260505144 is 44150506215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14352879 + ... + 14356449.

It is an arithmetic number, because the mean of its divisors is an integer number (1071975060).

Almost surely, 251260505144 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 51260505144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68606403840).

51260505144 is an abundant number, since it is smaller than the sum of its proper divisors (85952302536).

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

51260505144 is a wasteful number, since it uses less digits than its factorization.

51260505144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 51260505144 in words is "fifty-one billion, two hundred sixty million, five hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 151 204 233 302 408 453 466 604 699 906 932 1208 1398 1812 1864 2567 2796 3571 3624 3961 5134 5592 7142 7701 7922 10268 10713 11883 14284 15402 15844 20536 21426 23766 28568 30804 31688 35183 42852 47532 60707 61608 70366 85704 95064 105549 121414 140732 182121 211098 242828 281464 364242 422196 485656 539221 598111 728484 832043 844392 1078442 1196222 1456968 1617663 1664086 1794333 2156884 2392444 2496129 3235326 3328172 3588666 4313768 4784888 4992258 6470652 6656344 7177332 9166757 9984516 12941304 14144731 14354664 18333514 19969032 27500271 28289462 36667028 42434193 55000542 56578924 73334056 84868386 110001084 113157848 125638493 169736772 220002168 251276986 339473544 376915479 502553972 753830958 1005107944 1507661916 2135854381 3015323832 4271708762 6407563143 8543417524 12815126286 17086835048 25630252572 51260505144