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21017990048 = 2511672693313
BaseRepresentation
bin10011100100110001…
…010001001110100000
32000020210001112001212
4103210301101032200
5321021101140143
613353332245252
71342562652626
oct234461211640
960223045055
1021017990048
118a06120010
1240a6a70828
131c9c573403
141035597516
15830302918
hex4e4c513a0

21017990048 has 96 divisors (see below), whose sum is σ = 45998850240. Its totient is φ = 9373224960.

The previous prime is 21017990047. The next prime is 21017990083. The reversal of 21017990048 is 84009971012.

It is a junction number, because it is equal to n+sod(n) for n = 21017989987 and 21017990014.

It is not an unprimeable number, because it can be changed into a prime (21017990041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6342440 + ... + 6345752.

It is an arithmetic number, because the mean of its divisors is an integer number (479154690).

Almost surely, 221017990048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21017990048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22999425120).

21017990048 is an abundant number, since it is smaller than the sum of its proper divisors (24980860192).

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

21017990048 is a wasteful number, since it uses less digits than its factorization.

21017990048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The spelling of 21017990048 in words is "twenty-one billion, seventeen million, nine hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 269 352 536 538 737 1072 1076 1474 2144 2152 2948 2959 3313 4304 5896 5918 6626 8608 11792 11836 13252 18023 23584 23672 26504 36046 36443 47344 53008 72092 72886 94688 106016 144184 145772 198253 221971 288368 291544 396506 443942 576736 583088 793012 887884 891197 1166176 1586024 1775768 1782394 2441681 3172048 3551536 3564788 4883362 6344096 7103072 7129576 9766724 9803167 14259152 19533448 19606334 28518304 39066896 39212668 59710199 78133792 78425336 119420398 156850672 238840796 313701344 477681592 656812189 955363184 1313624378 1910726368 2627248756 5254497512 10508995024 21017990048