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12731878542152 = 237113971760981
BaseRepresentation
bin1011100101000101111100…
…0110010000101101001000
31200002011012111200020021202
42321101133012100231020
53132044341401322102
643024535543123332
72452563550664120
oct271213706205510
950064174606252
1012731878542152
114069617577000
121517634443548
137147c3481603
14320324a0bc80
151712ba9c1e02
hexb945f190b48

12731878542152 has 128 divisors (see below), whose sum is σ = 30318193140480. Its totient is φ = 4909330483200.

The previous prime is 12731878542137. The next prime is 12731878542193. The reversal of 12731878542152 is 25124587813721.

It is a super-2 number, since 2×127318785421522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 6349502 + ... + 8110482.

It is an arithmetic number, because the mean of its divisors is an integer number (236860883910).

Almost surely, 212731878542152 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 12731878542152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159096570240).

12731878542152 is an abundant number, since it is smaller than the sum of its proper divisors (17586314598328).

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

12731878542152 is a wasteful number, since it uses less digits than its factorization.

12731878542152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761124 (or 1761098 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 56.

The spelling of 12731878542152 in words is "twelve trillion, seven hundred thirty-one billion, eight hundred seventy-eight million, five hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 97 121 154 194 242 308 388 484 616 679 776 847 968 1067 1331 1358 1694 2134 2662 2716 3388 4268 5324 5432 6776 7469 8536 9317 10648 11737 14938 18634 23474 29876 37268 46948 59752 74536 82159 93896 129107 164318 258214 328636 516428 657272 903749 1032856 1760981 1807498 3521962 3614996 7043924 7229992 12326867 14087848 19370791 24653734 38741582 49307468 77483164 98614936 135595537 154966328 170815157 213078701 271191074 341630314 426157402 542382148 683260628 852314804 1084764296 1195706099 1366521256 1491550907 1704629608 1878966727 2343865711 2391412198 2983101814 3757933454 4687731422 4782824396 5966203628 7515866908 9375462844 9565648792 11932407256 13152767089 15031733816 16407059977 18750925688 20668633997 26305534178 32814119954 41337267994 52611068356 65628239908 82674535988 105222136712 131256479816 144680437979 165349071976 227354973967 289360875958 454709947934 578721751916 909419895868 1157443503832 1591484817769 1818839791736 3182969635538 6365939271076 12731878542152