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10660656500 = 2253136732437
BaseRepresentation
bin10011110110110110…
…01011010101110100
31000111221220110110122
421323123023111310
5133313112002000
64521502511112
7525116041124
oct117333132564
930457813418
1010660656500
11458073201a
122096295498
13100b832a90
14731bb8c84
15425dad085
hex27b6cb574

10660656500 has 96 divisors (see below), whose sum is σ = 25121425056. Its totient is φ = 3928780800.

The previous prime is 10660656493. The next prime is 10660656529. The reversal of 10660656500 is 565606601.

It can be written as a sum of positive squares in 16 ways, for example, as 7653450256 + 3007206244 = 87484^2 + 54838^2 .

It is a super-2 number, since 2×106606565002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4373282 + ... + 4375718.

It is an arithmetic number, because the mean of its divisors is an integer number (261681511).

Almost surely, 210660656500 is an apocalyptic number.

10660656500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10660656500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12560712528).

10660656500 is an abundant number, since it is smaller than the sum of its proper divisors (14460768556).

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

10660656500 is a wasteful number, since it uses less digits than its factorization.

10660656500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 10660656500 in words is "ten billion, six hundred sixty million, six hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 673 1300 1346 1625 2437 2692 3250 3365 4874 6500 6730 8749 9748 12185 13460 16825 17498 24370 31681 33650 34996 43745 48740 60925 63362 67300 84125 87490 121850 126724 158405 168250 174980 218725 243700 304625 316810 336500 437450 609250 633620 792025 874900 1093625 1218500 1584050 1640101 2187250 3168100 3280202 3960125 4374500 6560404 7920250 8200505 15840500 16401010 21321313 32802020 41002525 42642626 82005050 85285252 106606565 164010100 205012625 213213130 410025250 426426260 533032825 820050500 1066065650 2132131300 2665164125 5330328250 10660656500