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21855070680 = 23353157110289
BaseRepresentation
bin10100010110101010…
…011110100111011000
32002102010011121211020
4110112222132213120
5324224344230210
614012354002440
71402406015142
oct242652364730
962363147736
1021855070680
1192a5688093
12429b276420
1320a3b0a0b1
1410b4815c92
1587da51770
hex516a9e9d8

21855070680 has 128 divisors (see below), whose sum is σ = 67805337600. Its totient is φ = 5629593600.

The previous prime is 21855070639. The next prime is 21855070697. The reversal of 21855070680 is 8607055812.

It is a super-2 number, since 2×218550706802 (a number of 21 digits) contains 22 as substring.

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, 2118976 + ... + 2129264.

It is an arithmetic number, because the mean of its divisors is an integer number (529729200).

Almost surely, 221855070680 is an apocalyptic number.

21855070680 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 21855070680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33902668800).

21855070680 is an abundant number, since it is smaller than the sum of its proper divisors (45950266920).

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

21855070680 is a wasteful number, since it uses less digits than its factorization.

21855070680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10905 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 21855070680 in words is "twenty-one billion, eight hundred fifty-five million, seventy thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 571 620 744 930 1142 1240 1713 1860 2284 2855 3426 3720 4568 5710 6852 8565 10289 11420 13704 17130 17701 20578 22840 30867 34260 35402 41156 51445 53103 61734 68520 70804 82312 88505 102890 106206 123468 141608 154335 177010 205780 212412 246936 265515 308670 318959 354020 411560 424824 531030 617340 637918 708040 956877 1062060 1234680 1275836 1594795 1913754 2124120 2551672 3189590 3827508 4784385 5875019 6379180 7655016 9568770 11750038 12758360 17625057 19137540 23500076 29375095 35250114 38275080 47000152 58750190 70500228 88125285 117500380 141000456 176250570 182125589 235000760 352501140 364251178 546376767 705002280 728502356 910627945 1092753534 1457004712 1821255890 2185507068 2731883835 3642511780 4371014136 5463767670 7285023560 10927535340 21855070680