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12376157688 = 23324716092273
BaseRepresentation
bin10111000011010110…
…10010110111111000
31011221111220221200200
423201223102313320
5200321244021223
65404024002200
7615456414246
oct134153226770
934844827620
1012376157688
1152810224a4
122494900360
131223078b3b
14855977796
154c67c4a43
hex2e1ad2df8

12376157688 has 96 divisors (see below), whose sum is σ = 34268270400. Its totient is φ = 4033327104.

The previous prime is 12376157681. The next prime is 12376157693. The reversal of 12376157688 is 88675167321.

It is a happy number.

12376157688 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 61 + 576 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12376157681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5443720 + ... + 5445992.

It is an arithmetic number, because the mean of its divisors is an integer number (356961150).

Almost surely, 212376157688 is an apocalyptic number.

12376157688 is a gapful number since it is divisible by the number (18) 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 12376157688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17134135200).

12376157688 is an abundant number, since it is smaller than the sum of its proper divisors (21892112712).

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

12376157688 is a wasteful number, since it uses less digits than its factorization.

12376157688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3934 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 12376157688 in words is "twelve billion, three hundred seventy-six million, one hundred fifty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1609 1692 2273 3218 3384 4546 4827 6436 6819 9092 9654 12872 13638 14481 18184 19308 20457 27276 28962 38616 40914 54552 57924 75623 81828 106831 115848 151246 163656 213662 226869 302492 320493 427324 453738 604984 640986 680607 854648 907476 961479 1281972 1361214 1814952 1922958 2563944 2722428 3657257 3845916 5444856 7314514 7691832 10971771 14629028 21943542 29258056 32915313 43887084 65830626 87774168 131661252 171891079 263322504 343782158 515673237 687564316 1031346474 1375128632 1547019711 2062692948 3094039422 4125385896 6188078844 12376157688