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66785425632 = 25321391668301
BaseRepresentation
bin111110001100101110…
…001011100011100000
320101101101120010211200
4332030232023203200
52043234032110012
650403015241200
74553001515502
oct761456134340
9211341503750
1066785425632
11263616a4842
1210b3a379200
1363b4475143
143337b15d72
151b0d2d43dc
hexf8cb8b8e0

66785425632 has 72 divisors (see below), whose sum is σ = 191287507320. Its totient is φ = 22101638400.

The previous prime is 66785425631. The next prime is 66785425687. The reversal of 66785425632 is 23652458766.

66785425632 is a `hidden beast` number, since 6 + 6 + 78 + 5 + 4 + 2 + 563 + 2 = 666.

66785425632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66785425631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 794119 + ... + 874182.

It is an arithmetic number, because the mean of its divisors is an integer number (2656770935).

Almost surely, 266785425632 is an apocalyptic number.

It is an amenable number.

66785425632 is an abundant number, since it is smaller than the sum of its proper divisors (124502081688).

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

66785425632 is a wasteful number, since it uses less digits than its factorization.

66785425632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668456 (or 1668445 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 66785425632 in words is "sixty-six billion, seven hundred eighty-five million, four hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 10008 13344 20016 40032 1668301 3336602 5004903 6673204 10009806 13346408 15014709 20019612 26692816 30029418 40039224 53385632 60058836 80078448 120117672 160156896 231893839 240235344 463787678 480470688 695681517 927575356 1391363034 1855150712 2087044551 2782726068 3710301424 4174089102 5565452136 7420602848 8348178204 11130904272 16696356408 22261808544 33392712816 66785425632