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19931102256 = 2431348765587
BaseRepresentation
bin10010100011111111…
…000111110000110000
31220110000212220022110
4102203333013300300
5311304330233011
613053424405320
71303624400562
oct224377076060
956400786273
1019931102256
1184a865113a
123a42a76840
131b58333a40
14d710ad332
157b9babba6
hex4a3fc7c30

19931102256 has 80 divisors (see below), whose sum is σ = 55564054784. Its totient is φ = 6119960832.

The previous prime is 19931102221. The next prime is 19931102267. The reversal of 19931102256 is 65220113991.

It is a super-3 number, since 3×199311022563 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271095 + ... + 336681.

Almost surely, 219931102256 is an apocalyptic number.

19931102256 is a gapful number since it is divisible by the number (16) 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 19931102256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27782027392).

19931102256 is an abundant number, since it is smaller than the sum of its proper divisors (35632952528).

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

19931102256 is a wasteful number, since it uses less digits than its factorization.

19931102256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66098 (or 66092 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The spelling of 19931102256 in words is "nineteen billion, nine hundred thirty-one million, one hundred two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 487 624 974 1461 1948 2922 3896 5844 6331 7792 11688 12662 18993 23376 25324 37986 50648 65587 75972 101296 131174 151944 196761 262348 303888 393522 524696 787044 852631 1049392 1574088 1705262 2557893 3148176 3410524 5115786 6821048 10231572 13642096 20463144 31940869 40926288 63881738 95822607 127763476 191645214 255526952 383290428 415231297 511053904 766580856 830462594 1245693891 1533161712 1660925188 2491387782 3321850376 4982775564 6643700752 9965551128 19931102256