Search a number
-
+
46023832064 = 29731414241
BaseRepresentation
bin101010110111001110…
…111111001000000000
311101210110221220121202
4222313032333020000
51223224100111224
633050522240332
73216341055260
oct526716771000
9141713856552
1046023832064
1118578287251
128b053560a8
134456073a32
1423286217a0
1512e577aeae
hexab73bf200

46023832064 has 80 divisors (see below), whose sum is σ = 108485008896. Its totient is φ = 19088179200.

The previous prime is 46023832051. The next prime is 46023832073.

46023832064 is nontrivially palindromic in base 10.

46023832064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96017 + ... + 318224.

Almost surely, 246023832064 is an apocalyptic number.

It is an amenable number.

46023832064 is an abundant number, since it is smaller than the sum of its proper divisors (62461176832).

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

46023832064 is an equidigital number, since it uses as much as digits as its factorization.

46023832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414297 (or 414281 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 46023832064 in words is "forty-six billion, twenty-three million, eight hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1736 1792 1984 3472 3584 3968 6944 7936 13888 15872 27776 55552 111104 414241 828482 1656964 2899687 3313928 5799374 6627856 11598748 12841471 13255712 23197496 25682942 26511424 46394992 51365884 53022848 89890297 92789984 102731768 106045696 179780594 185579968 205463536 212091392 359561188 371159936 410927072 719122376 742319872 821854144 1438244752 1484639744 1643708288 2876489504 3287416576 5752979008 6574833152 11505958016 23011916032 46023832064