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66642152064 = 2731770114563
BaseRepresentation
bin111110000100001011…
…101000101010000000
320101000101222002110020
4332010023220222000
52042440342331224
650340500333440
74546311642345
oct760413505200
9211011862406
1066642152064
1126298837234
1210aba3a4280
13639088ca97
143322a9c7cc
151b00932c79
hexf842e8a80

66642152064 has 128 divisors (see below), whose sum is σ = 187711318080. Its totient is φ = 20876083200.

The previous prime is 66642151967. The next prime is 66642152069. The reversal of 66642152064 is 46025124666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (66642152069) 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, 4568847 + ... + 4583409.

Almost surely, 266642152064 is an apocalyptic number.

66642152064 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 66642152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93855659040).

66642152064 is an abundant number, since it is smaller than the sum of its proper divisors (121069166016).

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

66642152064 is a wasteful number, since it uses less digits than its factorization.

66642152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15298 (or 15286 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 66642152064 in words is "sixty-six billion, six hundred forty-two million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 701 816 1088 1402 1632 2103 2176 2804 3264 4206 5608 6528 8412 11216 11917 14563 16824 22432 23834 29126 33648 35751 43689 44864 47668 58252 67296 71502 87378 89728 95336 116504 134592 143004 174756 190672 233008 247571 269184 286008 349512 381344 466016 495142 572016 699024 742713 762688 932032 990284 1144032 1398048 1485426 1525376 1864064 1980568 2288064 2796096 2970852 3961136 4576128 5592192 5941704 7922272 10208663 11883408 15844544 20417326 23766816 30625989 31689088 40834652 47533632 61251978 81669304 95067264 122503956 163338608 173547271 245007912 326677216 347094542 490015824 520641813 653354432 694189084 980031648 1041283626 1306708864 1388378168 1960063296 2082567252 2776756336 3920126592 4165134504 5553512672 8330269008 11107025344 16660538016 22214050688 33321076032 66642152064