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21317775480 = 23335140914009
BaseRepresentation
bin10011110110101000…
…110111000001111000
32001000200011012101000
4103312220313001320
5322124322303410
613443201525000
71353163046631
oct236650670170
961020135330
1021317775480
11904a368271
12416b343760
1320196c7641
141063312888
1584b7bcdc0
hex4f6a37078

21317775480 has 128 divisors (see below), whose sum is σ = 71114760000. Its totient is φ = 5680300032.

The previous prime is 21317775473. The next prime is 21317775497. The reversal of 21317775480 is 8457771312.

21317775480 is a `hidden beast` number, since 2 + 1 + 31 + 7 + 77 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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, 1514716 + ... + 1528724.

Almost surely, 221317775480 is an apocalyptic number.

21317775480 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 21317775480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35557380000).

21317775480 is an abundant number, since it is smaller than the sum of its proper divisors (49796984520).

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

21317775480 is a wasteful number, since it uses less digits than its factorization.

21317775480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15438 (or 15428 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 21317775480 in words is "twenty-one billion, three hundred seventeen million, seven hundred seventy-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1409 2818 4227 5636 7045 8454 11272 12681 14009 14090 16908 21135 25362 28018 28180 33816 38043 42027 42270 50724 56036 56360 63405 70045 76086 84054 84540 101448 112072 126081 126810 140090 152172 168108 169080 190215 210135 252162 253620 280180 304344 336216 378243 380430 420270 504324 507240 560360 630405 756486 760860 840540 1008648 1260810 1512972 1521720 1681080 1891215 2521620 3025944 3782430 5043240 7564860 15129720 19738681 39477362 59216043 78954724 98693405 118432086 157909448 177648129 197386810 236864172 296080215 355296258 394773620 473728344 532944387 592160430 710592516 789547240 888240645 1065888774 1184320860 1421185032 1776481290 2131777548 2368641720 2664721935 3552962580 4263555096 5329443870 7105925160 10658887740 21317775480