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21285120640 = 275717279479
BaseRepresentation
bin10011110100101100…
…010010101010000000
32000221101201011100111
4103310230102222000
5322042442330030
613440034001104
71352315353210
oct236454225200
960841634314
1021285120640
1190329941a3
124160416194
132012a03154
14105cc52240
158489bc62a
hex4f4b12a80

21285120640 has 128 divisors (see below), whose sum is σ = 61575033600. Its totient is φ = 6868451328.

The previous prime is 21285120613. The next prime is 21285120643. The reversal of 21285120640 is 4602158212.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (21285120643) 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, 63580 + ... + 215899.

It is an arithmetic number, because the mean of its divisors is an integer number (481054950).

Almost surely, 221285120640 is an apocalyptic number.

21285120640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21285120640 is an abundant number, since it is smaller than the sum of its proper divisors (40289912960).

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

21285120640 is a wasteful number, since it uses less digits than its factorization.

21285120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279522 (or 279510 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 21285120640 its reverse (4602158212), we get a palindrome (25887278852).

The spelling of 21285120640 in words is "twenty-one billion, two hundred eighty-five million, one hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1904 2176 2240 2380 2720 3808 4480 4760 5440 7616 9520 10880 15232 19040 38080 76160 279479 558958 1117916 1397395 1956353 2235832 2794790 3912706 4471664 4751143 5589580 7825412 8943328 9502286 9781765 11179160 15650824 17886656 19004572 19563530 22358320 23755715 31301648 33258001 35773312 38009144 39127060 44716640 47511430 62603296 66516002 76018288 78254120 89433280 95022860 125206592 133032004 152036576 156508240 166290005 178866560 190045720 250413184 266064008 304073152 313016480 332580010 380091440 532128016 608146304 626032960 665160020 760182880 1064256032 1252065920 1330320040 1520365760 2128512064 2660640080 3040731520 4257024128 5321280160 10642560320 21285120640