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19873002248 = 231122321972
BaseRepresentation
bin10010100000100001…
…011111001100001000
31220021222120010002022
4102200201133030020
5311144442032443
613043551224012
71302320506031
oct224041371410
956258503068
1019873002248
118478878800
123a27518008
131b492a0838
14d674a7a88
157b4a31e68
hex4a085f308

19873002248 has 108 divisors (see below), whose sum is σ = 43033887645. Its totient is φ = 8596575680.

The previous prime is 19873002241. The next prime is 19873002257. The reversal of 19873002248 is 84220037891.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12732414244 + 7140588004 = 112838^2 + 84502^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=99682.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19873002199 and 19873002208.

It is not an unprimeable number, because it can be changed into a prime (19873002241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100878086 + ... + 100878282.

Almost surely, 219873002248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19873002248

19873002248 is an abundant number, since it is smaller than the sum of its proper divisors (23160885397).

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

19873002248 is a wasteful number, since it uses less digits than its factorization.

19873002248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 19873002248 in words is "nineteen billion, eight hundred seventy-three million, two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 197 242 253 394 484 506 529 788 968 1012 1058 1576 2024 2116 2167 2783 4232 4334 4531 5566 5819 8668 9062 11132 11638 17336 18124 22264 23276 23837 36248 38809 46552 47674 49841 64009 77618 95348 99682 104213 128018 155236 190696 199364 208426 256036 310472 398728 416852 426899 512072 548251 833704 853798 892607 1096502 1146343 1707596 1785214 2193004 2292686 3415192 3570428 4386008 4585372 4695889 7140856 9170744 9391778 9818677 12609773 18783556 19637354 20529961 25219546 37567112 39274708 41059922 50439092 78549416 82119844 100878184 108005447 164239688 216010894 225829571 432021788 451659142 864043576 903318284 1806636568 2484125281 4968250562 9936501124 19873002248