Search a number
-
+
64242076032 = 273255765691
BaseRepresentation
bin111011110101001000…
…000100100110000000
320010211010210121002100
4323311020010212000
52023031432413112
645302402350400
74432656431211
oct736510044600
9203733717070
1064242076032
1125276a82622
121054a65b400
13609a578654
14317601d408
151a0ed942dc
hexef5204980

64242076032 has 48 divisors (see below), whose sum is σ = 184863268980. Its totient is φ = 21414024960.

The previous prime is 64242076027. The next prime is 64242076103. The reversal of 64242076032 is 23067024246.

64242076032 is a `hidden beast` number, since 6 + 4 + 2 + 42 + 0 + 7 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27881694 + ... + 27883997.

Almost surely, 264242076032 is an apocalyptic number.

It is an amenable number.

64242076032 is an abundant number, since it is smaller than the sum of its proper divisors (120621192948).

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

64242076032 is a wasteful number, since it uses less digits than its factorization.

64242076032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55765711 (or 55765696 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 64242076032 in words is "sixty-four billion, two hundred forty-two million, seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 55765691 111531382 167297073 223062764 334594146 446125528 501891219 669188292 892251056 1003782438 1338376584 1784502112 2007564876 2676753168 3569004224 4015129752 5353506336 7138008448 8030259504 10707012672 16060519008 21414025344 32121038016 64242076032