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132387356928 = 2831754118743
BaseRepresentation
bin111101101001011100…
…1101100000100000000
3110122201022011112122210
41323102321230010000
54132112130410203
6140452400302120
712364452652431
oct1732271540400
9418638145583
10132387356928
1151166236792
12217a8311940
13c63a684878
14659c597488
15369c73d803
hex1ed2e6c100

132387356928 has 144 divisors (see below), whose sum is σ = 373779052416. Its totient is φ = 41454305280.

The previous prime is 132387356923. The next prime is 132387356929. The reversal of 132387356928 is 829653783231.

It is not an unprimeable number, because it can be changed into a prime (132387356921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7053925 + ... + 7072667.

It is an arithmetic number, because the mean of its divisors is an integer number (2595687864).

Almost surely, 2132387356928 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 132387356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186889526208).

132387356928 is an abundant number, since it is smaller than the sum of its proper divisors (241391695488).

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

132387356928 is a wasteful number, since it uses less digits than its factorization.

132387356928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19320 (or 19306 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The spelling of 132387356928 in words is "one hundred thirty-two billion, three hundred eighty-seven million, three hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 541 544 768 816 1082 1088 1623 1632 2164 2176 3246 3264 4328 4352 6492 6528 8656 9197 12984 13056 17312 18394 18743 25968 27591 34624 36788 37486 51936 55182 56229 69248 73576 74972 103872 110364 112458 138496 147152 149944 207744 220728 224916 294304 299888 318631 415488 441456 449832 588608 599776 637262 882912 899664 955893 1177216 1199552 1274524 1765824 1799328 1911786 2354432 2399104 2549048 3531648 3598656 3823572 4798208 5098096 7063296 7197312 7647144 10139963 10196192 14394624 15294288 20279926 20392384 30419889 30588576 40559852 40784768 60839778 61177152 81119704 81569536 121679556 122354304 162239408 172379371 243359112 244708608 324478816 344758742 486718224 517138113 648957632 689517484 973436448 1034276226 1297915264 1379034968 1946872896 2068552452 2595830528 2758069936 3893745792 4137104904 5516139872 7787491584 8274209808 11032279744 16548419616 22064559488 33096839232 44129118976 66193678464 132387356928