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46624648128 = 263242836709
BaseRepresentation
bin101011011011000010…
…111010101111000000
311110100100111112022120
4223123002322233000
51230441402220003
633230304004240
73240254653512
oct533302725700
9143310445276
1046624648128
1118856442253
129052600680
134520696bb6
14238433bbb2
15132d3aa853
hexadb0babc0

46624648128 has 28 divisors (see below), whose sum is σ = 123361048680. Its totient is φ = 15541549312.

The previous prime is 46624648111. The next prime is 46624648151. The reversal of 46624648128 is 82184642664.

It is a happy number.

46624648128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121418163 + ... + 121418546.

Almost surely, 246624648128 is an apocalyptic number.

46624648128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46624648128 is an abundant number, since it is smaller than the sum of its proper divisors (76736400552).

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

46624648128 is a wasteful number, since it uses less digits than its factorization.

46624648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242836724 (or 242836714 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The spelling of 46624648128 in words is "forty-six billion, six hundred twenty-four million, six hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 242836709 485673418 728510127 971346836 1457020254 1942693672 2914040508 3885387344 5828081016 7770774688 11656162032 15541549376 23312324064 46624648128