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10231260832 = 2513311375791
BaseRepresentation
bin10011000011101010…
…01010011010100000
3222102000220220100101
421201311022122200
5131423200321312
64411123232144
7511353165532
oct114165123240
928360826311
1010231260832
114380309771
121b96518654
13c7089b5c0
146d0b61852
153ed33ea57
hex261d4a6a0

10231260832 has 96 divisors (see below), whose sum is σ = 22559330304. Its totient is φ = 4535654400.

The previous prime is 10231260797. The next prime is 10231260839. The reversal of 10231260832 is 23806213201.

It is a self number, because there is not a number n which added to its sum of digits gives 10231260832.

It is not an unprimeable number, because it can be changed into a prime (10231260839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763857 + ... + 1769647.

It is an arithmetic number, because the mean of its divisors is an integer number (234993024).

Almost surely, 210231260832 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 10231260832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279665152).

10231260832 is an abundant number, since it is smaller than the sum of its proper divisors (12328069472).

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

10231260832 is a wasteful number, since it uses less digits than its factorization.

10231260832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10231260832 in words is "ten billion, two hundred thirty-one million, two hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 137 208 248 274 403 416 496 548 806 992 1096 1612 1781 2192 3224 3562 4247 4384 5791 6448 7124 8494 11582 12896 14248 16988 23164 28496 33976 46328 55211 56992 67952 75283 92656 110422 135904 150566 179521 185312 220844 301132 359042 441688 602264 718084 793367 883376 1204528 1436168 1586734 1766752 2333773 2409056 2872336 3173468 4667546 5744672 6346936 9335092 10313771 12693872 18670184 20627542 24594377 25387744 37340368 41255084 49188754 74680736 82510168 98377508 165020336 196755016 319726901 330040672 393510032 639453802 787020064 1278907604 2557815208 5115630416 10231260832