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12660932254152 = 23371351531125001
BaseRepresentation
bin1011100000111101101001…
…0111101001100111001000
31122211101002010201101022110
42320033122113221213020
53124414042124113102
642532204010022320
72444502463331250
oct270173227514710
948741063641273
1012660932254152
114041520207836
1215059347179a0
1370abc7c84940
1431ab1446a960
1516e51728e86c
hexb83da5e99c8

12660932254152 has 128 divisors (see below), whose sum is σ = 38964309269760. Its totient is φ = 3338496000000.

The previous prime is 12660932254081. The next prime is 12660932254247. The reversal of 12660932254152 is 25145223906621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10691652 + ... + 11816652.

It is an arithmetic number, because the mean of its divisors is an integer number (304408666170).

Almost surely, 212660932254152 is an apocalyptic number.

12660932254152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12660932254152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19482154634880).

12660932254152 is an abundant number, since it is smaller than the sum of its proper divisors (26303377015608).

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

12660932254152 is a wasteful number, since it uses less digits than its factorization.

12660932254152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130183 (or 1130179 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 12660932254152 in words is "twelve trillion, six hundred sixty billion, nine hundred thirty-two million, two hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 5153 10306 15459 20612 30918 36071 41224 61836 66989 72142 108213 123672 133978 144284 200967 216426 267956 288568 401934 432852 468923 535912 803868 865704 937846 1125001 1406769 1607736 1875692 2250002 2813538 3375003 3751384 4500004 5627076 6750006 7875007 9000008 11254152 13500012 14625013 15750014 23625021 27000024 29250026 31500028 43875039 47250042 58500052 63000056 87750078 94500084 102375091 117000104 175500156 189000168 204750182 307125273 351000312 409500364 614250546 819000728 1228501092 2457002184 5797130153 11594260306 17391390459 23188520612 34782780918 40579911071 46377041224 69565561836 75362691989 81159822142 121739733213 139131123672 150725383978 162319644284 226088075967 243479466426 301450767956 324639288568 452176151934 486958932852 527538843923 602901535912 904352303868 973917865704 1055077687846 1582616531769 1808704607736 2110155375692 3165233063538 4220310751384 6330466127076 12660932254152