Search a number
-
+
198153063864 = 23327393160841
BaseRepresentation
bin1011100010001011010…
…1111100110110111000
3200221110121221121102100
42320202311330312320
511221304141020424
6231010311503400
720213263152360
oct2704265746670
9627417847370
10198153063864
11770442697a8
12324a1087b60
13158bb7a7462
14983aaab9a0
15524b248dc9
hex2e22d7cdb8

198153063864 has 48 divisors (see below), whose sum is σ = 613330913520. Its totient is φ = 56615160960.

The previous prime is 198153063839. The next prime is 198153063887. The reversal of 198153063864 is 468360351891.

198153063864 is a `hidden beast` number, since 19 + 8 + 1 + 530 + 6 + 38 + 64 = 666.

It is a super-2 number, since 2×1981530638642 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 198153063864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196579917 + ... + 196580924.

It is an arithmetic number, because the mean of its divisors is an integer number (12777727365).

Almost surely, 2198153063864 is an apocalyptic number.

198153063864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

198153063864 is an abundant number, since it is smaller than the sum of its proper divisors (415177849656).

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

198153063864 is a wasteful number, since it uses less digits than its factorization.

198153063864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393160860 (or 393160853 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 198153063864 in words is "one hundred ninety-eight billion, one hundred fifty-three million, sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 393160841 786321682 1179482523 1572643364 2358965046 2752125887 3145286728 3538447569 4717930092 5504251774 7076895138 8256377661 9435860184 11008503548 14153790276 16512755322 22017007096 24769132983 28307580552 33025510644 49538265966 66051021288 99076531932 198153063864