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6329114064 = 2433713160997
BaseRepresentation
bin1011110010011111…
…01001110111010000
3121100002100022022000
411321033221313100
5100430223122224
62524010514000
7312561403410
oct57117516720
917302308260
106329114064
112758690089
121287735900
1379b31b510
14440800640
152709980c9
hex1793e9dd0

6329114064 has 160 divisors (see below), whose sum is σ = 22359402240. Its totient is φ = 1669206528.

The previous prime is 6329114053. The next prime is 6329114083. The reversal of 6329114064 is 4604119236.

6329114064 is a `hidden beast` number, since 632 + 9 + 1 + 14 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41187 + ... + 119810.

It is an arithmetic number, because the mean of its divisors is an integer number (139746264).

Almost surely, 26329114064 is an apocalyptic number.

It is an amenable number.

6329114064 is an abundant number, since it is smaller than the sum of its proper divisors (16030288176).

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

6329114064 is a wasteful number, since it uses less digits than its factorization.

6329114064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161034 (or 161022 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6329114064 is about 79555.7292971411. The cubic root of 6329114064 is about 1849.7554158272.

The spelling of 6329114064 in words is "six billion, three hundred twenty-nine million, one hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 160997 321994 482991 643988 965982 1126979 1287976 1448973 1931964 2092961 2253958 2575952 2897946 3380937 3863928 4185922 4346919 4507916 5795892 6278883 6761874 7727856 8371844 8693838 9015832 10142811 11591784 12557766 13523748 14650727 16743688 17387676 18031664 18836649 20285622 23183568 25115532 27047496 29301454 30428433 33487376 34775352 37673298 40571244 43952181 50231064 54094992 56509947 58602908 60856866 69550704 75346596 81142488 87904362 100462128 113019894 117205816 121713732 131856543 150693192 162284976 175808724 226039788 234411632 243427464 263713086 301386384 351617448 395569629 452079576 486854928 527426172 703234896 791139258 904159152 1054852344 1582278516 2109704688 3164557032 6329114064