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20279109928 = 23711475691231
BaseRepresentation
bin10010111000101110…
…101010100100101000
31221100021201112002111
4102320232222210220
5313012423004203
613152135412104
71315351406320
oct227056524450
957307645074
1020279109928
118667035490
123b1b524034
131bb247013c
14da53bc280
157da50026d
hex4b8baa928

20279109928 has 128 divisors (see below), whose sum is σ = 48538828800. Its totient is φ = 7712985600.

The previous prime is 20279109899. The next prime is 20279109953. The reversal of 20279109928 is 82990197202.

It is a super-2 number, since 2×202791099282 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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, 16473073 + ... + 16474303.

It is an arithmetic number, because the mean of its divisors is an integer number (379209600).

Almost surely, 220279109928 is an apocalyptic number.

20279109928 is a gapful number since it is divisible by the number (28) 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 20279109928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269414400).

20279109928 is an abundant number, since it is smaller than the sum of its proper divisors (28259718872).

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

20279109928 is a wasteful number, since it uses less digits than its factorization.

20279109928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 20279109928 in words is "twenty billion, two hundred seventy-nine million, one hundred nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 77 88 94 154 188 308 329 376 517 569 616 658 1034 1138 1231 1316 2068 2276 2462 2632 3619 3983 4136 4552 4924 6259 7238 7966 8617 9848 12518 13541 14476 15932 17234 25036 26743 27082 28952 31864 34468 43813 50072 53486 54164 57857 68936 87626 94787 106972 108328 115714 175252 187201 189574 213944 231428 294173 350504 374402 379148 404999 462856 588346 636427 700439 748804 758296 809998 1176692 1272854 1400878 1497608 1619996 2059211 2353384 2545708 2801756 3239992 4118422 4454989 4903073 5091416 5603512 7704829 8236844 8909978 9806146 15409658 16473688 17819956 19612292 30819316 32920633 35639912 39224584 53933803 61638632 65841266 107867606 131682532 215735212 230444431 263365064 362126963 431470424 460888862 724253926 921777724 1448507852 1843555448 2534888741 2897015704 5069777482 10139554964 20279109928