Search a number
-
+
20810357696 = 2617194721419
BaseRepresentation
bin10011011000011001…
…001101101111000000
31222201022100201000202
4103120121031233000
5320104422421241
613320554104332
71334462056532
oct233031155700
958638321022
1020810357696
1189099a4827
12404941b0a8
131c6854612b
141015b89852
1581be8bd9b
hex4d864dbc0

20810357696 has 112 divisors (see below), whose sum is σ = 47007475200. Its totient is φ = 9079861248.

The previous prime is 20810357681. The next prime is 20810357699. The reversal of 20810357696 is 69675301802.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 20810357696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20810357699) 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, 960875 + ... + 982293.

It is an arithmetic number, because the mean of its divisors is an integer number (419709600).

Almost surely, 220810357696 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 20810357696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23503737600).

20810357696 is an abundant number, since it is smaller than the sum of its proper divisors (26197117504).

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

20810357696 is a wasteful number, since it uses less digits than its factorization.

20810357696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21514 (or 21504 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 20810357696 in words is "twenty billion, eight hundred ten million, three hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 47 64 68 76 94 136 152 188 272 304 323 376 544 608 646 752 799 893 1088 1216 1292 1504 1598 1786 2584 3008 3196 3572 5168 6392 7144 10336 12784 14288 15181 20672 21419 25568 28576 30362 42838 51136 57152 60724 85676 121448 171352 242896 342704 364123 406961 485792 685408 728246 813922 971584 1006693 1370816 1456492 1627844 2013386 2912984 3255688 4026772 5825968 6511376 6918337 8053544 11651936 13022752 13836674 16107088 17113781 19127167 23303872 26045504 27673348 32214176 34227562 38254334 55346696 64428352 68455124 76508668 110693392 136910248 153017336 221386784 273820496 306034672 325161839 442773568 547640992 612069344 650323678 1095281984 1224138688 1300647356 2601294712 5202589424 10405178848 20810357696