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21852577472 = 26112310712613
BaseRepresentation
bin10100010110100000…
…111101111011000000
32002101221110221210012
4110112200331323000
5324223224434342
614012224324052
71402345562255
oct242640757300
962357427705
1021852577472
1192a4234990
12429a473628
1320a344631b
1410b436742c
1587d70cb82
hex51683dec0

21852577472 has 112 divisors (see below), whose sum is σ = 49827923712. Its totient is φ = 9411578880.

The previous prime is 21852577469. The next prime is 21852577493. The reversal of 21852577472 is 27477525812.

It is a self number, because there is not a number n which added to its sum of digits gives 21852577472.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1726238 + ... + 1738850.

It is an arithmetic number, because the mean of its divisors is an integer number (444892176).

Almost surely, 221852577472 is an apocalyptic number.

21852577472 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 21852577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24913961856).

21852577472 is an abundant number, since it is smaller than the sum of its proper divisors (27975346240).

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

21852577472 is a wasteful number, since it uses less digits than its factorization.

21852577472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12766 (or 12756 counting only the distinct ones).

The product of its digits is 2195200, while the sum is 50.

The spelling of 21852577472 in words is "twenty-one billion, eight hundred fifty-two million, five hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 107 176 184 214 253 352 368 428 506 704 736 856 1012 1177 1472 1712 2024 2354 2461 3424 4048 4708 4922 6848 8096 9416 9844 12613 16192 18832 19688 25226 27071 37664 39376 50452 54142 75328 78752 100904 108284 138743 157504 201808 216568 277486 290099 403616 433136 554972 580198 807232 866272 1109944 1160396 1349591 1732544 2219888 2320792 2699182 3191089 4439776 4641584 5398364 6382178 8879552 9283168 10796728 12764356 14845501 18566336 21593456 25528712 29691002 31040593 43186912 51057424 59382004 62081186 86373824 102114848 118764008 124162372 204229696 237528016 248324744 341446523 475056032 496649488 682893046 950112064 993298976 1365786092 1986597952 2731572184 5463144368 10926288736 21852577472