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21246272872 = 23112192814111
BaseRepresentation
bin10011110010011000…
…000110010101101000
32000211200121111020021
4103302120012111220
5322003021212442
613432125210224
71351334224336
oct236230062550
960750544207
1021246272872
119012a70300
12414b400974
132007950bc6
141057a1cb56
15845396e67
hex4f2606568

21246272872 has 96 divisors (see below), whose sum is σ = 46267401600. Its totient is φ = 9114336000.

The previous prime is 21246272807. The next prime is 21246272881. The reversal of 21246272872 is 27827264212.

It is a super-2 number, since 2×212462728722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5166097 + ... + 5170207.

It is an arithmetic number, because the mean of its divisors is an integer number (481952100).

Almost surely, 221246272872 is an apocalyptic number.

21246272872 is a gapful number since it is divisible by the number (22) 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 21246272872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133700800).

21246272872 is an abundant number, since it is smaller than the sum of its proper divisors (25021128728).

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

21246272872 is a wasteful number, since it uses less digits than its factorization.

21246272872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4424 counting only the distinct ones).

The product of its digits is 301056, while the sum is 43.

The spelling of 21246272872 in words is "twenty-one billion, two hundred forty-six million, two hundred seventy-two thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 281 418 484 562 836 968 1124 1672 2248 2299 3091 4111 4598 5339 6182 8222 9196 10678 12364 16444 18392 21356 24728 32888 34001 42712 45221 58729 68002 78109 90442 117458 136004 156218 180884 234916 272008 312436 361768 469832 497431 624872 646019 859199 994862 1155191 1292038 1718398 1989724 2310382 2584076 3436796 3979448 4620764 5168152 6873592 9241528 9451189 12707101 18902378 21948629 25414202 37804756 43897258 50828404 75609512 87794516 101656808 139778111 175589032 241434919 279556222 482869838 559112444 965739676 1118224888 1931479352 2655784109 5311568218 10623136436 21246272872