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21212724260 = 22572139371777
BaseRepresentation
bin10011110000011000…
…000111110000100100
32000202100111001012002
4103300120013300210
5321420424134020
613424530144432
71350446116100
oct236030076044
960670431162
1021212724260
118aa6036782
124140122118
132000a05960
1410533a8900
1584246b975
hex4f0607c24

21212724260 has 144 divisors (see below), whose sum is σ = 55896778224. Its totient is φ = 6702538752.

The previous prime is 21212724251. The next prime is 21212724289. The reversal of 21212724260 is 6242721212.

It can be written as a sum of positive squares in 8 ways, for example, as 5603720164 + 15609004096 = 74858^2 + 124936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11936492 + ... + 11938268.

It is an arithmetic number, because the mean of its divisors is an integer number (388172071).

Almost surely, 221212724260 is an apocalyptic number.

21212724260 is a gapful number since it is divisible by the number (20) 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 21212724260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27948389112).

21212724260 is an abundant number, since it is smaller than the sum of its proper divisors (34684053964).

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

21212724260 is a wasteful number, since it uses less digits than its factorization.

21212724260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 21212724260 in words is "twenty-one billion, two hundred twelve million, seven hundred twenty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 937 980 1274 1777 1820 1874 2548 3185 3554 3748 4685 6370 6559 7108 8885 9370 12181 12439 12740 13118 17770 18740 23101 24362 24878 26236 32795 35540 45913 46202 48724 49756 60905 62195 65590 85267 87073 91826 92404 115505 121810 124390 131180 161707 170534 174146 183652 229565 231010 243620 248780 323414 341068 348292 426335 435365 459130 462020 596869 646828 808535 852670 870730 918260 1131949 1193738 1617070 1665049 1705340 1741460 2263898 2387476 2984345 3234140 3330098 4527796 5659745 5968690 6660196 8325245 11319490 11655343 11937380 16650490 21645637 22638980 23310686 33300980 43291274 46621372 58276715 81587401 86582548 108228185 116553430 151519459 163174802 216456370 233106860 303038918 326349604 407937005 432912740 606077836 757597295 815874010 1060636213 1515194590 1631748020 2121272426 3030389180 4242544852 5303181065 10606362130 21212724260