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66660211584 = 2732431134257
BaseRepresentation
bin111110000101010000…
…100001101110000000
320101001122221121110100
4332011100201232000
52043010003232314
650342343402400
74546621310121
oct760520415600
9211048847410
1066660211584
11262a7a5165a
1210b04453400
136394543ba5
143325240048
151b022edc09
hexf85421b80

66660211584 has 96 divisors (see below), whose sum is σ = 192268196640. Its totient is φ = 22168350720.

The previous prime is 66660211561. The next prime is 66660211609. The reversal of 66660211584 is 48511206666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429384 + ... + 563640.

It is an arithmetic number, because the mean of its divisors is an integer number (2002793715).

Almost surely, 266660211584 is an apocalyptic number.

66660211584 is a gapful number since it is divisible by the number (64) 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 66660211584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96134098320).

66660211584 is an abundant number, since it is smaller than the sum of its proper divisors (125607985056).

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

66660211584 is a wasteful number, since it uses less digits than its factorization.

66660211584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134708 (or 134693 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 66660211584 in words is "sixty-six billion, six hundred sixty million, two hundred eleven thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 431 576 862 1152 1293 1724 2586 3448 3879 5172 6896 7758 10344 13792 15516 20688 27584 31032 41376 55168 62064 82752 124128 134257 165504 248256 268514 402771 496512 537028 805542 1074056 1208313 1611084 2148112 2416626 3222168 4296224 4833252 6444336 8592448 9666504 12888672 17184896 19333008 25777344 38666016 51554688 57864767 77332032 115729534 154664064 173594301 231459068 347188602 462918136 520782903 694377204 925836272 1041565806 1388754408 1851672544 2083131612 2777508816 3703345088 4166263224 5555017632 7406690176 8332526448 11110035264 16665052896 22220070528 33330105792 66660211584