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21245106762 = 23311231555051
BaseRepresentation
bin10011110010010011…
…101001101001001010
32000211121102020122000
4103302103221221022
5322002221404022
613432044211430
71351321266525
oct236223515112
960747366560
1021245106762
119012344180
12414ab39b76
1320076331b9
1410577d7bbc
158452166ac
hex4f24e9a4a

21245106762 has 64 divisors (see below), whose sum is σ = 53742597120. Its totient is φ = 6157998000.

The previous prime is 21245106733. The next prime is 21245106787. The reversal of 21245106762 is 26760154212.

It is a happy number.

21245106762 is a `hidden beast` number, since 2 + 1 + 24 + 510 + 67 + 62 = 666.

It is a super-2 number, since 2×212451067622 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 763864 + ... + 791187.

It is an arithmetic number, because the mean of its divisors is an integer number (839728080).

Almost surely, 221245106762 is an apocalyptic number.

21245106762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21245106762 is an abundant number, since it is smaller than the sum of its proper divisors (32497490358).

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

21245106762 is a wasteful number, since it uses less digits than its factorization.

21245106762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555096 (or 1555090 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 21245106762 in words is "twenty-one billion, two hundred forty-five million, one hundred six thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 1555051 3110102 4665153 9330306 13995459 17105561 27990918 34211122 35766173 41986377 51316683 71532346 83972754 102633366 107298519 153950049 214597038 307900098 321895557 393427903 461850147 643791114 786855806 923700294 965686671 1180283709 1931373342 2360567418 3540851127 7081702254 10622553381 21245106762