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21326286480 = 24351713139901
BaseRepresentation
bin10011110111001001…
…010100111010010000
32001001021011121021020
4103313021110322100
5322134012131410
613444104155440
71353325305222
oct236711247220
961037147236
1021326286480
119054150754
124172168b80
13201b3b7535
1410644ca412
1584c3eea70
hex4f7254e90

21326286480 has 160 divisors (see below), whose sum is σ = 70536521088. Its totient is φ = 5311488000.

The previous prime is 21326286473. The next prime is 21326286511. The reversal of 21326286480 is 8468262312.

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, 514530 + ... + 554430.

Almost surely, 221326286480 is an apocalyptic number.

21326286480 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 21326286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35268260544).

21326286480 is an abundant number, since it is smaller than the sum of its proper divisors (49210234608).

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

21326286480 is a wasteful number, since it uses less digits than its factorization.

21326286480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40065 (or 40059 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 21326286480 in words is "twenty-one billion, three hundred twenty-six million, two hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 131 136 170 204 240 255 262 272 340 393 408 510 524 655 680 786 816 1020 1048 1310 1360 1572 1965 2040 2096 2227 2620 3144 3930 4080 4454 5240 6288 6681 7860 8908 10480 11135 13362 15720 17816 22270 26724 31440 33405 35632 39901 44540 53448 66810 79802 89080 106896 119703 133620 159604 178160 199505 239406 267240 319208 399010 478812 534480 598515 638416 678317 798020 957624 1197030 1356634 1596040 1915248 2034951 2394060 2713268 3192080 3391585 4069902 4788120 5227031 5426536 6783170 8139804 9576240 10174755 10454062 10853072 13566340 15681093 16279608 20349510 20908124 26135155 27132680 31362186 32559216 40699020 41816248 52270310 54265360 62724372 78405465 81398040 83632496 88859527 104540620 125448744 156810930 162796080 177719054 209081240 250897488 266578581 313621860 355438108 418162480 444297635 533157162 627243720 710876216 888595270 1066314324 1254487440 1332892905 1421752432 1777190540 2132628648 2665785810 3554381080 4265257296 5331571620 7108762160 10663143240 21326286480