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10248480832 = 261912836569
BaseRepresentation
bin10011000101101101…
…10110100001000000
3222110020022202202011
421202312312201000
5131442102341312
64412540302304
7511652435602
oct114266664100
928406282664
1010248480832
11438a000377
121ba0241994
13c7431a555
146d3165172
153eeae1da7
hex262db6840

10248480832 has 56 divisors (see below), whose sum is σ = 21427135200. Its totient is φ = 4850021376.

The previous prime is 10248480811. The next prime is 10248480881. The reversal of 10248480832 is 23808484201.

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, 1556844 + ... + 1563412.

Almost surely, 210248480832 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 10248480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713567600).

10248480832 is an abundant number, since it is smaller than the sum of its proper divisors (11178654368).

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

10248480832 is a wasteful number, since it uses less digits than its factorization.

10248480832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7883 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 10248480832 in words is "ten billion, two hundred forty-eight million, four hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 1283 2566 5132 6569 10264 13138 20528 24377 26276 41056 48754 52552 82112 97508 105104 124811 195016 210208 249622 390032 420416 499244 780064 998488 1560128 1996976 3993952 7987904 8428027 16856054 33712108 67424216 134848432 160132513 269696864 320265026 539393728 640530052 1281060104 2562120208 5124240416 10248480832