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20560692100 = 225213211032
BaseRepresentation
bin10011001001100000…
…110100001110000100
31222001220120101012211
4103021200310032010
5314102014121400
613240114553204
71325340666514
oct231140641604
958056511184
1020560692100
1187a0a7a323
123b99898804
131c288bca00
14dd0959844
158050c1dba
hex4c9834384

20560692100 has 81 divisors (see below), whose sum is σ = 48356600943. Its totient is φ = 7584757440.

The previous prime is 20560692079. The next prime is 20560692121. The reversal of 20560692100 is 129606502.

The square root of 20560692100 is 143390.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (20560692079) and next prime (20560692121).

It can be written as a sum of positive squares in 4 ways, for example, as 5299548804 + 15261143296 = 72798^2 + 123536^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 18640149 + ... + 18641251.

Almost surely, 220560692100 is an apocalyptic number.

20560692100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20560692100 is the 143390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20560692100

20560692100 is an abundant number, since it is smaller than the sum of its proper divisors (27795908843).

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

20560692100 is a wasteful number, since it uses less digits than its factorization.

20560692100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 20560692100 in words is "twenty billion, five hundred sixty million, six hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1103 1300 1690 2206 3380 4225 4412 5515 8450 11030 14339 16900 22060 27575 28678 55150 57356 71695 110300 143390 186407 286780 358475 372814 716950 745628 932035 1216609 1433900 1864070 2433218 3728140 4660175 4866436 6083045 9320350 12166090 15815917 18640700 24332180 30415225 31631834 60830450 63263668 79079585 121660900 158159170 205606921 316318340 395397925 411213842 790795850 822427684 1028034605 1581591700 2056069210 4112138420 5140173025 10280346050 20560692100