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21261232153504 = 2571746711955689
BaseRepresentation
bin1001101010110010001000…
…01100001010001110100000
32210021112221211021022020101
410311121010030022032200
510241321000412403004
6113115135240152144
74323034103315620
oct465310414121640
983245854238211
1021261232153504
1168579242a9372
12247469b768654
13bb2c0569a325
14537098b38880
1526d0c0561ba4
hex13564430a3a0

21261232153504 has 96 divisors (see below), whose sum is σ = 50760225210240. Its totient is φ = 8557594533888.

The previous prime is 21261232153387. The next prime is 21261232153507. The reversal of 21261232153504 is 40535123216212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21261232153507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4199509 + ... + 7756180.

It is an arithmetic number, because the mean of its divisors is an integer number (528752345940).

Almost surely, 221261232153504 is an apocalyptic number.

It is an amenable number.

21261232153504 is an abundant number, since it is smaller than the sum of its proper divisors (29498993056736).

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

21261232153504 is a wasteful number, since it uses less digits than its factorization.

21261232153504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11956190 (or 11956182 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 21261232153504 its reverse (40535123216212), we get a palindrome (61796355369716).

The spelling of 21261232153504 in words is "twenty-one trillion, two hundred sixty-one billion, two hundred thirty-two million, one hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 467 476 544 934 952 1868 1904 3269 3736 3808 6538 7472 7939 13076 14944 15878 26152 31756 52304 55573 63512 104608 111146 127024 222292 254048 444584 889168 1778336 11955689 23911378 47822756 83689823 95645512 167379646 191291024 203246713 334759292 382582048 406493426 669518584 812986852 1339037168 1422726991 1625973704 2678074336 2845453982 3251947408 5583306763 5690907964 6503894816 11166613526 11381815928 22333227052 22763631856 39083147341 44666454104 45527263712 78166294682 89332908208 94916214971 156332589364 178665816416 189832429942 312665178728 379664859884 625330357456 664413504797 759329719768 1250660714912 1328827009594 1518659439536 2657654019188 3037318879072 5315308038376 10630616076752 21261232153504