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66940415168 = 26111733591531
BaseRepresentation
bin111110010101111101…
…011010110011000000
320101210012012102111212
4332111331122303000
52044043221241133
650430233225252
74556563066154
oct762575326300
9211705172455
1066940415168
1126431134770
1210b82262228
13640a600123
14335053d064
151b1bbec148
hexf95f5acc0

66940415168 has 112 divisors (see below), whose sum is σ = 146249867520. Its totient is φ = 30147609600.

The previous prime is 66940415167. The next prime is 66940415189. The reversal of 66940415168 is 86151404966.

It is not an unprimeable number, because it can be changed into a prime (66940415167) 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, 43722563 + ... + 43724093.

Almost surely, 266940415168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66940415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73124933760).

66940415168 is an abundant number, since it is smaller than the sum of its proper divisors (79309452352).

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

66940415168 is a wasteful number, since it uses less digits than its factorization.

66940415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 66940415168 in words is "sixty-six billion, nine hundred forty million, four hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 173 176 346 352 359 692 704 718 1384 1436 1531 1903 2768 2872 3062 3806 3949 5536 5744 6124 7612 7898 11072 11488 12248 15224 15796 16841 22976 24496 30448 31592 33682 48992 60896 62107 63184 67364 97984 121792 124214 126368 134728 248428 252736 264863 269456 496856 529726 538912 549629 683177 993712 1059452 1077824 1099258 1366354 1987424 2118904 2198516 2732708 2913493 3974848 4237808 4397032 5465416 5826986 6045919 8475616 8794064 10930832 11653972 12091838 16951232 17588128 21861664 23307944 24183676 35176256 43723328 46615888 48367352 93231776 95085817 96734704 186463552 190171634 193469408 380343268 386938816 760686536 1045943987 1521373072 2091887974 3042746144 4183775948 6085492288 8367551896 16735103792 33470207584 66940415168