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10985306432 = 261768314783
BaseRepresentation
bin10100011101100011…
…00111100101000000
31001100120210101110012
422032301213211000
5134444214301212
65014021124052
7536140364312
oct121661474500
931316711405
1010985306432
114727a12351
122166b59628
131060b81629
14762d677b2
1544463a922
hex28ec67940

10985306432 has 56 divisors (see below), whose sum is σ = 23116617216. Its totient is φ = 5161637888.

The previous prime is 10985306429. The next prime is 10985306491. The reversal of 10985306432 is 23460358901.

It is a self number, because there is not a number n which added to its sum of digits gives 10985306432.

It is a congruent number.

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, 735713 + ... + 750495.

It is an arithmetic number, because the mean of its divisors is an integer number (412796736).

Almost surely, 210985306432 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 10985306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558308608).

10985306432 is an abundant number, since it is smaller than the sum of its proper divisors (12131310784).

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

10985306432 is a wasteful number, since it uses less digits than its factorization.

10985306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15495 (or 15485 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 10985306432 in words is "ten billion, nine hundred eighty-five million, three hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 683 1088 1366 2732 5464 10928 11611 14783 21856 23222 29566 43712 46444 59132 92888 118264 185776 236528 251311 371552 473056 502622 743104 946112 1005244 2010488 4020976 8041952 10096789 16083904 20193578 40387156 80774312 161548624 171645413 323097248 343290826 646194496 686581652 1373163304 2746326608 5492653216 10985306432