Search a number
-
+
66713533632 = 263431415133
BaseRepresentation
bin111110001000011011…
…111011110011000000
320101012101021122120000
4332020123323303000
52043112131034012
650351530320000
74551136452024
oct761033736300
9211171248500
1066713533632
1126325061269
1210b1a289000
1363a25c33b5
14332c360384
151b06d32ddc
hexf886fbcc0

66713533632 has 140 divisors (see below), whose sum is σ = 204139653696. Its totient is φ = 21520442880.

The previous prime is 66713533583. The next prime is 66713533643. The reversal of 66713533632 is 23633531766.

66713533632 is a `hidden beast` number, since 6 + 6 + 7 + 1 + 3 + 5 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×667135336322 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46863 + ... + 368270.

Almost surely, 266713533632 is an apocalyptic number.

66713533632 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66713533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102069826848).

66713533632 is an abundant number, since it is smaller than the sum of its proper divisors (137426120064).

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

66713533632 is a wasteful number, since it uses less digits than its factorization.

66713533632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415188 (or 415169 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 45.

The spelling of 66713533632 in words is "sixty-six billion, seven hundred thirteen million, five hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 13392 17856 20088 26784 40176 53568 80352 160704 415133 830266 1245399 1660532 2490798 3321064 3736197 4981596 6642128 7472394 9963192 11208591 12869123 13284256 14944788 19926384 22417182 25738246 26568512 29889576 33625773 38607369 39852768 44834364 51476492 59779152 67251546 77214738 79705536 89668728 102952984 115822107 119558304 134503092 154429476 179337456 205905968 231644214 239116608 269006184 308858952 347466321 358674912 411811936 463288428 538012368 617717904 694932642 717349824 823623872 926576856 1042398963 1076024736 1235435808 1389865284 1853153712 2084797926 2152049472 2470871616 2779730568 3706307424 4169595852 5559461136 7412614848 8339191704 11118922272 16678383408 22237844544 33356766816 66713533632