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66929460640 = 255728536921
BaseRepresentation
bin111110010101010011…
…101000010110100000
320101202102120212201121
4332111103220112200
52044032420220030
650425202342024
74556401012600
oct762523502640
9211672525647
1066929460640
1126425a32439
1210b7a65a914
136408265c63
14334cccac00
151b1ac8647a
hexf954e85a0

66929460640 has 72 divisors (see below), whose sum is σ = 183936521412. Its totient is φ = 22947240960.

The previous prime is 66929460593. The next prime is 66929460643. The reversal of 66929460640 is 4606492966.

It can be written as a sum of positive squares in 2 ways, for example, as 60203492496 + 6725968144 = 245364^2 + 82012^2 .

It is a super-2 number, since 2×669294606402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66929460643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4260621 + ... + 4276300.

Almost surely, 266929460640 is an apocalyptic number.

It is an amenable number.

66929460640 is an abundant number, since it is smaller than the sum of its proper divisors (117007060772).

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

66929460640 is a wasteful number, since it uses less digits than its factorization.

66929460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536950 (or 8536935 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 66929460640 in words is "sixty-six billion, nine hundred twenty-nine million, four hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 8536921 17073842 34147684 42684605 59758447 68295368 85369210 119516894 136590736 170738420 239033788 273181472 298792235 341476840 418309129 478067576 597584470 682953680 836618258 956135152 1195168940 1365907360 1673236516 1912270304 2091545645 2390337880 3346473032 4183091290 4780675760 6692946064 8366182580 9561351520 13385892128 16732365160 33464730320 66929460640