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10698534928 = 241724495153
BaseRepresentation
bin10011111011010111…
…01011000000010000
31000121121011212220101
421331223223000100
5133402311104203
64525334422144
7526056021634
oct117553530020
930547155811
1010698534928
1145a0053704
1220a6b01954
131016635a53
14736c38dc4
1542939141d
hex27daeb010

10698534928 has 60 divisors (see below), whose sum is σ = 22072778100. Its totient is φ = 5022416896.

The previous prime is 10698534919. The next prime is 10698535049. The reversal of 10698534928 is 82943589601.

It can be written as a sum of positive squares in 6 ways, for example, as 1762992144 + 8935542784 = 41988^2 + 94528^2 .

It is a super-2 number, since 2×106985349282 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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, 2073600 + ... + 2078752.

It is an arithmetic number, because the mean of its divisors is an integer number (367879635).

Almost surely, 210698534928 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 10698534928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11036389050).

10698534928 is an abundant number, since it is smaller than the sum of its proper divisors (11374243172).

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

10698534928 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (10698534927) it forms an eRAP, since the sums of their prime factors are consecutive (5643 and 5644).

10698534928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 10698534928 in words is "ten billion, six hundred ninety-eight million, five hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 449 578 898 1156 1796 2312 3592 4624 5153 7184 7633 10306 15266 20612 30532 41224 61064 82448 87601 122128 129761 175202 259522 350404 519044 700808 1038088 1401616 1489217 2076176 2313697 2978434 4627394 5956868 9254788 11913736 18509576 23827472 37019152 39332849 78665698 157331396 314662792 629325584 668658433 1337316866 2674633732 5349267464 10698534928