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66357012672 = 2633179214531
BaseRepresentation
bin111101110011001011…
…111010100011000000
320100021112102111202000
4331303023322203000
52041344343401142
650252313024000
74536250205226
oct756313724300
9210245374660
1066357012672
1126161892845
1210a3a9b5000
136346796052
1432d6c76b16
151ad58ac14c
hexf732fa8c0

66357012672 has 112 divisors (see below), whose sum is σ = 196168060800. Its totient is φ = 21995331840.

The previous prime is 66357012653. The next prime is 66357012677. The reversal of 66357012672 is 27621075366.

66357012672 is a `hidden beast` number, since 6 + 6 + 3 + 570 + 1 + 2 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (66357012677) 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 15 ways as a sum of consecutive naturals, for example, 202047 + ... + 416577.

Almost surely, 266357012672 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 66357012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98084030400).

66357012672 is an abundant number, since it is smaller than the sum of its proper divisors (129811048128).

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

66357012672 is a wasteful number, since it uses less digits than its factorization.

66357012672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214731 (or 214715 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 66357012672 in words is "sixty-six billion, three hundred fifty-seven million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 179 192 216 288 358 432 537 576 716 864 1074 1432 1611 1728 2148 2864 3222 4296 4833 5728 6444 8592 9666 11456 12888 17184 19332 25776 34368 38664 51552 77328 103104 154656 214531 309312 429062 643593 858124 1287186 1716248 1930779 2574372 3432496 3861558 5148744 5792337 6864992 7723116 10297488 11584674 13729984 15446232 20594976 23169348 30892464 38401049 41189952 46338696 61784928 76802098 92677392 115203147 123569856 153604196 185354784 230406294 307208392 345609441 370709568 460812588 614416784 691218882 921625176 1036828323 1228833568 1382437764 1843250352 2073656646 2457667136 2764875528 3686500704 4147313292 5529751056 7373001408 8294626584 11059502112 16589253168 22119004224 33178506336 66357012672