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11853153832 = 23131391495503
BaseRepresentation
bin10110000101000000…
…01100011000101000
31010121001210121021111
423002200030120220
5143233401410312
65240102120104
7566506100542
oct130240143050
933531717244
1011853153832
115032883a03
122369720034
13116b8cb2c0
14806314692
154959158a7
hex2c280c628

11853153832 has 64 divisors (see below), whose sum is σ = 24272640000. Its totient is φ = 5393896704.

The previous prime is 11853153821. The next prime is 11853153901. The reversal of 11853153832 is 23835135811.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2151193 + ... + 2156695.

It is an arithmetic number, because the mean of its divisors is an integer number (379260000).

Almost surely, 211853153832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11853153832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12136320000).

11853153832 is an abundant number, since it is smaller than the sum of its proper divisors (12419486168).

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

11853153832 is a wasteful number, since it uses less digits than its factorization.

11853153832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5806 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The spelling of 11853153832 in words is "eleven billion, eight hundred fifty-three million, one hundred fifty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 139 149 278 298 556 596 1112 1192 1807 1937 3614 3874 5503 7228 7748 11006 14456 15496 20711 22012 41422 44024 71539 82844 143078 165688 269243 286156 538486 572312 764917 819947 1076972 1529834 1639894 2153944 3059668 3279788 6119336 6559576 9943921 10659311 19887842 21318622 39775684 42637244 79551368 85274488 113972633 227945266 455890532 911781064 1481644229 2963288458 5926576916 11853153832