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66654001680 = 2435739675001
BaseRepresentation
bin111110000100111000…
…110101101000010000
320101001020021010001220
4332010320311220100
52043001411023210
650342002325040
74546514444340
oct760470655020
9211036233056
1066654001680
11262a44a0002
1210b02359780
13639317b4a6
1433244a4d20
151b019c3c70
hexf84e35a10

66654001680 has 80 divisors (see below), whose sum is σ = 236145611904. Its totient is φ = 15235200000.

The previous prime is 66654001651. The next prime is 66654001681. The reversal of 66654001680 is 8610045666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (66654001681) 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, 19835821 + ... + 19839180.

Almost surely, 266654001680 is an apocalyptic number.

66654001680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66654001680 is an abundant number, since it is smaller than the sum of its proper divisors (169491610224).

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

66654001680 is a wasteful number, since it uses less digits than its factorization.

66654001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39675024 (or 39675018 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 66654001680 in words is "sixty-six billion, six hundred fifty-four million, one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 39675001 79350002 119025003 158700004 198375005 238050006 277725007 317400008 396750010 476100012 555450014 595125015 634800016 793500020 833175021 952200024 1110900028 1190250030 1388625035 1587000040 1666350042 1904400048 2221800056 2380500060 2777250070 3174000080 3332700084 4165875105 4443600112 4761000120 5554500140 6665400168 8331750210 9522000240 11109000280 13330800336 16663500420 22218000560 33327000840 66654001680