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66907142592 = 2632979715077
BaseRepresentation
bin111110010011111110…
…011111100111000000
320101200212121000010020
4332103332133213000
52044011212030332
650423044133440
74556010220443
oct762376374700
9211625530106
1066907142592
1126414379574
1210b73097280
136403750704
143349d5b65a
151b18d2882c
hexf93f9f9c0

66907142592 has 112 divisors (see below), whose sum is σ = 183371398560. Its totient is φ = 21504888832.

The previous prime is 66907142543. The next prime is 66907142593. The reversal of 66907142592 is 29524170966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66907142593) 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, 4430158 + ... + 4445234.

It is an arithmetic number, because the mean of its divisors is an integer number (1637244630).

Almost surely, 266907142592 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 66907142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91685699280).

66907142592 is an abundant number, since it is smaller than the sum of its proper divisors (116464255968).

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

66907142592 is a wasteful number, since it uses less digits than its factorization.

66907142592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15918 (or 15908 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 66907142592 in words is "sixty-six billion, nine hundred seven million, one hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 797 928 1392 1594 1856 2391 2784 3188 4782 5568 6376 9564 12752 15077 19128 23113 25504 30154 38256 45231 46226 51008 60308 69339 76512 90462 92452 120616 138678 153024 180924 184904 241232 277356 361848 369808 437233 482464 554712 723696 739616 874466 964928 1109424 1311699 1447392 1479232 1748932 2218848 2623398 2894784 3497864 4437696 5246796 6995728 10493592 12016369 13991456 20987184 24032738 27982912 36049107 41974368 48065476 72098214 83948736 96130952 144196428 192261904 288392856 348474701 384523808 576785712 696949402 769047616 1045424103 1153571424 1393898804 2090848206 2307142848 2787797608 4181696412 5575595216 8363392824 11151190432 16726785648 22302380864 33453571296 66907142592