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132227678736 = 243222311873469
BaseRepresentation
bin111101100100101100…
…0100100001000010000
3110122022011201001100200
41323021120210020100
54131300241204421
6140424454015200
712360503503356
oct1731130441020
9418264631320
10132227678736
115109409413a
1221762947500
13c61357772a
1465852ad7d6
15368d6eb726
hex1ec9624210

132227678736 has 120 divisors (see below), whose sum is σ = 372133681920. Its totient is φ = 43828639488.

The previous prime is 132227678719. The next prime is 132227678761. The reversal of 132227678736 is 637876722231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38115210 + ... + 38118678.

It is an arithmetic number, because the mean of its divisors is an integer number (3101114016).

Almost surely, 2132227678736 is an apocalyptic number.

132227678736 is a gapful number since it is divisible by the number (16) 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 132227678736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186066840960).

132227678736 is an abundant number, since it is smaller than the sum of its proper divisors (239906003184).

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

132227678736 is a wasteful number, since it uses less digits than its factorization.

132227678736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893 (or 4884 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 132227678736 in words is "one hundred thirty-two billion, two hundred twenty-seven million, six hundred seventy-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 892 1187 1338 1784 2007 2374 2676 3469 3561 3568 4014 4748 5352 6938 7122 8028 9496 10407 10683 10704 13876 14244 16056 18992 20814 21366 27752 28488 31221 32112 41628 42732 55504 56976 62442 83256 85464 124884 166512 170928 249768 264701 499536 529402 773587 794103 1058804 1547174 1588206 2117608 2320761 2382309 3094348 3176412 4117703 4235216 4641522 4764618 6188696 6352824 6962283 8235406 9283044 9529236 12353109 12377392 12705648 13924566 16470812 18566088 19058472 24706218 27849132 32941624 37059327 37132176 38116944 49412436 55698264 65883248 74118654 98824872 111396528 148237308 197649744 296474616 592949232 918247769 1836495538 2754743307 3672991076 5509486614 7345982152 8264229921 11018973228 14691964304 16528459842 22037946456 33056919684 44075892912 66113839368 132227678736