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28281961981600 = 2552181195317417
BaseRepresentation
bin1100110111000111010000…
…10011000010011010100000
310201010201200120001122210121
412123203220103002122200
512201332424231402400
6140052315354010024
75646206245235545
oct633435023023240
9121121616048717
1028281961981600
119014349258348
123209297a16914
1312a1c92954612
146dabd6156bcc
15340a2aae221a
hex19b8e84c26a0

28281961981600 has 72 divisors (see below), whose sum is σ = 69424794958428. Its totient is φ = 11250283161600.

The previous prime is 28281961981589. The next prime is 28281961981613. The reversal of 28281961981600 is 618916918282.

It can be written as a sum of positive squares in 6 ways, for example, as 2326564494864 + 25955397486736 = 1525308^2 + 5094644^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97513909 + ... + 97803508.

Almost surely, 228281961981600 is an apocalyptic number.

28281961981600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28281961981600 is an abundant number, since it is smaller than the sum of its proper divisors (41142832976828).

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

28281961981600 is a wasteful number, since it uses less digits than its factorization.

28281961981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195317618 (or 195317605 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 61.

The spelling of 28281961981600 in words is "twenty-eight trillion, two hundred eighty-one billion, nine hundred sixty-one million, nine hundred eighty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 181 200 362 400 724 800 905 1448 1810 2896 3620 4525 5792 7240 9050 14480 18100 28960 36200 72400 144800 195317417 390634834 781269668 976587085 1562539336 1953174170 3125078672 3906348340 4882935425 6250157344 7812696680 9765870850 15625393360 19531741700 31250786720 35352452477 39063483400 70704904954 78126966800 141409809908 156253933600 176762262385 282819619816 353524524770 565639239632 707049049540 883811311925 1131278479264 1414098099080 1767622623850 2828196198160 3535245247700 5656392396320 7070490495400 14140980990800 28281961981600