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66696317836824 = 233132957712775369
BaseRepresentation
bin11110010101000111100100…
…10101010001111000011000
322202011002212001210012022110
433022203302111101320120
532220223024331234244
6353503510533152320
720022435634415544
oct1712436225217030
9282132761705273
1066696317836824
111a284827716495
127592239a8b6a0
132b2a58855b230
1412681947b0a24
157a9dce7019b9
hex3ca8f2551e18

66696317836824 has 128 divisors (see below), whose sum is σ = 186080929272000. Its totient is φ = 19779948969984.

The previous prime is 66696317836817. The next prime is 66696317836847. The reversal of 66696317836824 is 42863871369666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166989 + ... + 11608380.

Almost surely, 266696317836824 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 66696317836824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93040464636000).

66696317836824 is an abundant number, since it is smaller than the sum of its proper divisors (119384611435176).

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

66696317836824 is a wasteful number, since it uses less digits than its factorization.

66696317836824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12775997 (or 12775993 counting only the distinct ones).

The product of its digits is 2257403904, while the sum is 75.

The spelling of 66696317836824 in words is "sixty-six trillion, six hundred ninety-six billion, three hundred seventeen million, eight hundred thirty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 577 696 754 1131 1154 1508 1731 2262 2308 3016 3462 4524 4616 6924 7501 9048 13848 15002 16733 22503 30004 33466 45006 50199 60008 66932 90012 100398 133864 180024 200796 217529 401592 435058 652587 870116 1305174 1740232 2610348 5220696 12775369 25550738 38326107 51101476 76652214 102202952 153304428 166079797 306608856 332159594 370485701 498239391 664319188 740971402 996478782 1111457103 1328638376 1481942804 1992957564 2222914206 2963885608 3985915128 4445828412 4816314113 7371387913 8891656824 9632628226 14448942339 14742775826 19265256452 22114163739 28897884678 29485551652 38530512904 44228327478 57795769356 58971103304 88456654956 95828042869 115591538712 176913309912 191656085738 213770249477 287484128607 383312171476 427540498954 574968257214 641310748431 766624342952 855080997908 1149936514428 1282621496862 1710161995816 2299873028856 2565242993724 2779013243201 5130485987448 5558026486402 8337039729603 11116052972804 16674079459206 22232105945608 33348158918412 66696317836824