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10788641416 = 237537151197
BaseRepresentation
bin10100000110000110…
…11001101010001000
31000211212201202202201
422003003121222020
5134043343011131
64542314005544
7531231640030
oct120303315210
930755652681
1010788641416
1146369a7a83
1221111168b4
13102c1c42b7
14744bb28c0
1543223e761
hex2830d9a88

10788641416 has 64 divisors (see below), whose sum is σ = 23886938880. Its totient is φ = 4472482560.

The previous prime is 10788641341. The next prime is 10788641443. The reversal of 10788641416 is 61414688701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185130 + ... + 236326.

It is an arithmetic number, because the mean of its divisors is an integer number (373233420).

Almost surely, 210788641416 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 10788641416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943469440).

10788641416 is an abundant number, since it is smaller than the sum of its proper divisors (13098297464).

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

10788641416 is a wasteful number, since it uses less digits than its factorization.

10788641416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51334 (or 51330 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 10788641416 in words is "ten billion, seven hundred eighty-eight million, six hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 53 56 71 106 142 212 284 371 424 497 568 742 994 1484 1988 2968 3763 3976 7526 15052 26341 30104 51197 52682 102394 105364 204788 210728 358379 409576 716758 1433516 2713441 2867032 3634987 5426882 7269974 10853764 14539948 18994087 21707528 25444909 29079896 37988174 50889818 75976348 101779636 151952696 192654311 203559272 385308622 770617244 1348580177 1541234488 2697160354 5394320708 10788641416