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10978311232 = 267231112927
BaseRepresentation
bin10100011100101101…
…11011110001000000
31001100002121222211201
422032112323301000
5134440421424412
65013211150544
7536024051200
oct121626736100
931302558751
1010978311232
114723a74799
122164745454
13105c5a2665
14762066400
15443c07e57
hex28e5bbc40

10978311232 has 84 divisors (see below), whose sum is σ = 26159545344. Its totient is φ = 4553176320.

The previous prime is 10978311161. The next prime is 10978311247. The reversal of 10978311232 is 23211387901.

It is a junction number, because it is equal to n+sod(n) for n = 10978311191 and 10978311200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40753 + ... + 153679.

Almost surely, 210978311232 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 10978311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079772672).

10978311232 is an abundant number, since it is smaller than the sum of its proper divisors (15181234112).

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

10978311232 is a wasteful number, since it uses less digits than its factorization.

10978311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112984 (or 112967 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 10978311232 in words is "ten billion, nine hundred seventy-eight million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 392 434 448 496 784 868 992 1519 1568 1736 1984 3038 3136 3472 6076 6944 12152 13888 24304 48608 97216 112927 225854 451708 790489 903416 1580978 1806832 3161956 3500737 3613664 5533423 6323912 7001474 7227328 11066846 12647824 14002948 22133692 24505159 25295648 28005896 44267384 49010318 50591296 56011792 88534768 98020636 112023584 171536113 177069536 196041272 224047168 343072226 354139072 392082544 686144452 784165088 1372288904 1568330176 2744577808 5489155616 10978311232