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13263243560 = 235728817681
BaseRepresentation
bin11000101101000110…
…10000100100101000
31021020100010120201222
430112203100210220
5204130342243220
610032033201212
7646450465400
oct142643204450
937210116658
1013263243560
115696834216
1226a1a00208
131334aa0418
148db6d1800
155295eee25
hex3168d0928

13263243560 has 96 divisors (see below), whose sum is σ = 34758438120. Its totient is φ = 4541644800.

The previous prime is 13263243557. The next prime is 13263243571. The reversal of 13263243560 is 6534236231.

It can be written as a sum of positive squares in 4 ways, for example, as 9794269156 + 3468974404 = 98966^2 + 58898^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13263243560.

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 23 ways as a sum of consecutive naturals, for example, 1722920 + ... + 1730600.

Almost surely, 213263243560 is an apocalyptic number.

13263243560 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 13263243560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379219060).

13263243560 is an abundant number, since it is smaller than the sum of its proper divisors (21495194560).

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

13263243560 is a wasteful number, since it uses less digits than its factorization.

13263243560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8576 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 13263243560 its reverse (6534236231), we get a palindrome (19797479791).

The spelling of 13263243560 in words is "thirteen billion, two hundred sixty-three million, two hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 881 980 1762 1960 3524 4405 6167 7048 7681 8810 12334 15362 17620 24668 30724 30835 35240 38405 43169 49336 53767 61448 61670 76810 86338 107534 123340 153620 172676 215068 215845 246680 268835 307240 345352 376369 430136 431690 537670 752738 863380 1075340 1505476 1726760 1881845 2150680 3010952 3763690 6766961 7527380 13533922 15054760 27067844 33834805 47368727 54135688 67669610 94737454 135339220 189474908 236843635 270678440 331581089 378949816 473687270 663162178 947374540 1326324356 1657905445 1894749080 2652648712 3315810890 6631621780 13263243560