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21641994240 = 21335176123
BaseRepresentation
bin10100001001111101…
…101010000000000000
32001212021020012220020
4110021331222000000
5323310322303430
613535303013440
71364210626056
oct241175520000
961767205806
1021641994240
1191a6383659
12423ba3a280
13206b924b69
1410943cc1d6
15869eb2b10
hex509f6a000

21641994240 has 112 divisors (see below), whose sum is σ = 69250547808. Its totient is φ = 5771165696.

The previous prime is 21641994221. The next prime is 21641994287. The reversal of 21641994240 is 4249914612.

It is a junction number, because it is equal to n+sod(n) for n = 21641994192 and 21641994201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34819 + ... + 210941.

Almost surely, 221641994240 is an apocalyptic number.

21641994240 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 21641994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34625273904).

21641994240 is an abundant number, since it is smaller than the sum of its proper divisors (47608553568).

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

21641994240 is an equidigital number, since it uses as much as digits as its factorization.

21641994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176157 (or 176133 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 21641994240 in words is "twenty-one billion, six hundred forty-one million, nine hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 20480 24576 30720 40960 61440 122880 176123 352246 528369 704492 880615 1056738 1408984 1761230 2113476 2641845 2817968 3522460 4226952 5283690 5635936 7044920 8453904 10567380 11271872 14089840 16907808 21134760 22543744 28179680 33815616 42269520 45087488 56359360 67631232 84539040 90174976 112718720 135262464 169078080 180349952 225437440 270524928 338156160 360699904 450874880 541049856 676312320 721399808 901749760 1082099712 1352624640 1442799616 1803499520 2164199424 2705249280 3606999040 4328398848 5410498560 7213998080 10820997120 21641994240