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64372180272 = 243193710318521
BaseRepresentation
bin111011111100111000…
…011000010100110000
320011011012121120112220
4323330320120110300
52023313234232042
645323331121040
74436126334651
oct737470302460
9204135546486
1064372180272
1125333465894
1210586143180
1360bb4cc6ca
143189409528
151a1b4e38ec
hexefce18530

64372180272 has 160 divisors (see below), whose sum is σ = 181533381120. Its totient is φ = 19585566720.

The previous prime is 64372180241. The next prime is 64372180289. The reversal of 64372180272 is 27208127346.

It is a happy number.

64372180272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3466372 + ... + 3484892.

It is an arithmetic number, because the mean of its divisors is an integer number (1134583632).

Almost surely, 264372180272 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 64372180272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90766690560).

64372180272 is an abundant number, since it is smaller than the sum of its proper divisors (117161200848).

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

64372180272 is a wasteful number, since it uses less digits than its factorization.

64372180272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18691 (or 18685 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 64372180272 in words is "sixty-four billion, three hundred seventy-two million, one hundred eighty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 103 111 114 148 152 206 222 228 296 304 309 412 444 456 592 618 703 824 888 912 1236 1406 1648 1776 1957 2109 2472 2812 3811 3914 4218 4944 5624 5871 7622 7828 8436 11248 11433 11742 15244 15656 16872 18521 22866 23484 30488 31312 33744 37042 45732 46968 55563 60976 72409 74084 91464 93936 111126 144818 148168 182928 217227 222252 289636 296336 351899 434454 444504 579272 685277 703798 868908 889008 1055697 1158544 1370554 1407596 1737816 1907663 2055831 2111394 2741108 2815192 3475632 3815326 4111662 4222788 5482216 5630384 5722989 7630652 8223324 8445576 10964432 11445978 13020263 15261304 16446648 16891152 22891956 26040526 30522608 32893296 36245597 39060789 45783912 52081052 70583531 72491194 78121578 91567824 104162104 108736791 141167062 144982388 156243156 208324208 211750593 217473582 282334124 289964776 312486312 423501186 434947164 564668248 579929552 624972624 847002372 869894328 1129336496 1341087089 1694004744 1739788656 2682174178 3388009488 4023261267 5364348356 8046522534 10728696712 16093045068 21457393424 32186090136 64372180272