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198560381652 = 223248171145021
BaseRepresentation
bin1011100011101100011…
…1101111101011010100
3200222112000101111101100
42320323013233223110
511223122424203102
6231114542030100
720226340252653
oct2707307575324
9628460344340
10198560381652
1177233182676
1232595578330
1315954cab7b9
149878c1919a
155271da5a1c
hex2e3b1efad4

198560381652 has 36 divisors (see below), whose sum is σ = 502021155636. Its totient is φ = 66172995840.

The previous prime is 198560381651. The next prime is 198560381707. The reversal of 198560381652 is 256183065891.

198560381652 is a `hidden beast` number, since 19 + 8 + 5 + 603 + 8 + 16 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127316230596 + 71244151056 = 356814^2 + 266916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198560381651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399099 + ... + 745922.

It is an arithmetic number, because the mean of its divisors is an integer number (13945032101).

Almost surely, 2198560381652 is an apocalyptic number.

198560381652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198560381652 is an abundant number, since it is smaller than the sum of its proper divisors (303460773984).

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

198560381652 is a wasteful number, since it uses less digits than its factorization.

198560381652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149848 (or 1149843 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 198560381652 in words is "one hundred ninety-eight billion, five hundred sixty million, three hundred eighty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4817 9634 14451 19268 28902 43353 57804 86706 173412 1145021 2290042 3435063 4580084 6870126 10305189 13740252 20610378 41220756 5515566157 11031132314 16546698471 22062264628 33093396942 49640095413 66186793884 99280190826 198560381652