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19618503948 = 223217277115727
BaseRepresentation
bin10010010001010110…
…101001110100001100
31212122020200021001100
4102101112221310030
5310134314111243
613002420343100
71263110350341
oct222126516414
955566607040
1019618503948
11835815242a
123976244a90
131b08644824
14d4177a7c8
1579c5100d3
hex4915a9d0c

19618503948 has 72 divisors (see below), whose sum is σ = 52698364992. Its totient is φ = 6132552192.

The previous prime is 19618503907. The next prime is 19618503991. The reversal of 19618503948 is 84930581691.

19618503948 is a `hidden beast` number, since 1 + 96 + 1 + 8 + 503 + 9 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19618503894 and 19618503903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111661 + ... + 227387.

It is an arithmetic number, because the mean of its divisors is an integer number (731921736).

Almost surely, 219618503948 is an apocalyptic number.

19618503948 is a gapful number since it is divisible by the number (18) 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 19618503948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26349182496).

19618503948 is an abundant number, since it is smaller than the sum of its proper divisors (33079861044).

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

19618503948 is a wasteful number, since it uses less digits than its factorization.

19618503948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116031 (or 116026 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 19618503948 in words is "nineteen billion, six hundred eighteen million, five hundred three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 277 306 554 612 831 1108 1662 2493 3324 4709 4986 9418 9972 14127 18836 28254 42381 56508 84762 115727 169524 231454 347181 462908 694362 1041543 1388724 1967359 2083086 3934718 4166172 5902077 7869436 11804154 17706231 23608308 32056379 35412462 64112758 70824924 96169137 128225516 192338274 288507411 384676548 544958443 577014822 1089916886 1154029644 1634875329 2179833772 3269750658 4904625987 6539501316 9809251974 19618503948