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21412603464 = 2337314439281
BaseRepresentation
bin10011111100010010…
…100110011001001000
32001021021120221220120
4103330102212121020
5322323111302324
613500430223240
71355424061230
oct237422463110
961237527816
1021412603464
1190989469aa
124197054b20
132033249c85
141071b58cc0
15854ca0179
hex4fc4a6648

21412603464 has 128 divisors (see below), whose sum is σ = 63301754880. Its totient is φ = 5906534400.

The previous prime is 21412603447. The next prime is 21412603493. The reversal of 21412603464 is 46430621412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302504 + ... + 2311784.

It is an arithmetic number, because the mean of its divisors is an integer number (494544960).

Almost surely, 221412603464 is an apocalyptic number.

21412603464 is a gapful number since it is divisible by the number (24) 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 21412603464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31650877440).

21412603464 is an abundant number, since it is smaller than the sum of its proper divisors (41889151416).

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

21412603464 is a wasteful number, since it uses less digits than its factorization.

21412603464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9771 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 21412603464 in words is "twenty-one billion, four hundred twelve million, six hundred three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 443 651 744 868 886 1302 1329 1736 1772 2604 2658 3101 3544 5208 5316 6202 9281 9303 10632 12404 13733 18562 18606 24808 27466 27843 37124 37212 41199 54932 55686 64967 74248 74424 82398 96131 109864 111372 129934 164796 192262 194901 222744 259868 287711 288393 329592 384524 389802 519736 575422 576786 769048 779604 863133 1150844 1153572 1559208 1726266 2013977 2301688 2307144 3452532 4027954 4111483 6041931 6905064 8055908 8222966 12083862 12334449 16111816 16445932 24167724 24668898 28780381 32891864 48335448 49337796 57560762 86341143 98675592 115121524 127455973 172682286 230243048 254911946 345364572 382367919 509823892 690729144 764735838 892191811 1019647784 1529471676 1784383622 2676575433 3058943352 3568767244 5353150866 7137534488 10706301732 21412603464