Search a number
-
+
64085446368 = 2532613647851
BaseRepresentation
bin111011101011110010…
…100100111011100000
320010102020001222120200
4323223302210323200
52022221333240433
645235045305200
74426045210026
oct735362447340
9203366058520
1064085446368
11251a6622419
1210506105200
136073c97c88
14315d2ca716
151a01255613
hexeebca4ee0

64085446368 has 72 divisors (see below), whose sum is σ = 185230628856. Its totient is φ = 21011616000.

The previous prime is 64085446357. The next prime is 64085446393. The reversal of 64085446368 is 86364458046.

64085446368 is a `hidden beast` number, since 6 + 40 + 85 + 4 + 463 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1806358 + ... + 1841493.

It is an arithmetic number, because the mean of its divisors is an integer number (2572647623).

Almost surely, 264085446368 is an apocalyptic number.

It is an amenable number.

64085446368 is an abundant number, since it is smaller than the sum of its proper divisors (121145182488).

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

64085446368 is a wasteful number, since it uses less digits than its factorization.

64085446368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647928 (or 3647917 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 64085446368 in words is "sixty-four billion, eighty-five million, four hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 3647851 7295702 10943553 14591404 21887106 29182808 32830659 43774212 58365616 65661318 87548424 116731232 131322636 175096848 222518911 262645272 350193696 445037822 525290544 667556733 890075644 1050581088 1335113466 1780151288 2002670199 2670226932 3560302576 4005340398 5340453864 7120605152 8010680796 10680907728 16021361592 21361815456 32042723184 64085446368