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21868841520 = 2432564347237
BaseRepresentation
bin10100010111011111…
…000000101000110000
32002110002002020212100
4110113133000220300
5324241410412040
614014005100400
71402634041311
oct242737005060
962402066770
1021868841520
119302433349
1242a39b7700
1320a691c116
1410b659c608
1587ed71b30
hex5177c0a30

21868841520 has 120 divisors (see below), whose sum is σ = 73558635696. Its totient is φ = 5822498304.

The previous prime is 21868841509. The next prime is 21868841557. The reversal of 21868841520 is 2514886812.

21868841520 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 88 + 41 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439342 + ... + 486578.

Almost surely, 221868841520 is an apocalyptic number.

21868841520 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 21868841520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36779317848).

21868841520 is an abundant number, since it is smaller than the sum of its proper divisors (51689794176).

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

21868841520 is a wasteful number, since it uses less digits than its factorization.

21868841520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47899 (or 47890 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 21868841520 in words is "twenty-one billion, eight hundred sixty-eight million, eight hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 643 720 1286 1929 2572 3215 3858 5144 5787 6430 7716 9645 10288 11574 12860 15432 19290 23148 25720 28935 30864 38580 46296 47237 51440 57870 77160 92592 94474 115740 141711 154320 188948 231480 236185 283422 377896 425133 462960 472370 566844 708555 755792 850266 944740 1133688 1417110 1700532 1889480 2125665 2267376 2834220 3401064 3778960 4251330 5668440 6802128 8502660 11336880 17005320 30373391 34010640 60746782 91120173 121493564 151866955 182240346 242987128 273360519 303733910 364480692 455600865 485974256 546721038 607467820 728961384 911201730 1093442076 1214935640 1366802595 1457922768 1822403460 2186884152 2429871280 2733605190 3644806920 4373768304 5467210380 7289613840 10934420760 21868841520