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66117439296 = 2633183120897
BaseRepresentation
bin111101100100111010…
…000000111101000000
320022122211121220212000
4331210322000331000
52040402031024141
650212434104000
74530310650456
oct754472007500
9208584556760
1066117439296
1126049630817
121099271b000
136308c6445c
1432b31129d6
151abe8375b6
hexf64e80f40

66117439296 has 112 divisors (see below), whose sum is σ = 194488490880. Its totient is φ = 22026055680.

The previous prime is 66117439277. The next prime is 66117439301. The reversal of 66117439296 is 69293471166.

66117439296 is a `hidden beast` number, since 6 + 6 + 117 + 439 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3153520 + ... + 3174416.

Almost surely, 266117439296 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 66117439296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97244245440).

66117439296 is an abundant number, since it is smaller than the sum of its proper divisors (128371051584).

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

66117439296 is a wasteful number, since it uses less digits than its factorization.

66117439296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22749 (or 22733 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 66117439296 in words is "sixty-six billion, one hundred seventeen million, four hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1831 3662 5493 7324 10986 14648 16479 20897 21972 29296 32958 41794 43944 49437 58592 62691 65916 83588 87888 98874 117184 125382 131832 167176 175776 188073 197748 250764 263664 334352 351552 376146 395496 501528 527328 564219 668704 752292 790992 1003056 1054656 1128438 1337408 1504584 1581984 2006112 2256876 3009168 3163968 4012224 4513752 6018336 9027504 12036672 18055008 36110016 38262407 76524814 114787221 153049628 229574442 306099256 344361663 459148884 612198512 688723326 918297768 1033084989 1224397024 1377446652 1836595536 2066169978 2448794048 2754893304 3673191072 4132339956 5509786608 7346382144 8264679912 11019573216 16529359824 22039146432 33058719648 66117439296