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198676890432 = 2632344925157
BaseRepresentation
bin1011100100001000010…
…0001100001101000000
3200222211010121202101100
42321002010030031000
511223342240443212
6231134303134400
720232253463466
oct2710204141500
9628733552340
10198676890432
1177292a1a419
12326085a4400
13159731825c7
14988a4a6836
15527c21bbdc
hex2e4210c340

198676890432 has 42 divisors (see below), whose sum is σ = 569471435858. Its totient is φ = 66225629952.

The previous prime is 198676890409. The next prime is 198676890437. The reversal of 198676890432 is 234098676891.

198676890432 is a `hidden beast` number, since 198 + 6 + 7 + 6 + 8 + 9 + 0 + 432 = 666.

198676890432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 197370501696 + 1306388736 = 444264^2 + 36144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 198676890432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198676890437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172462003 + ... + 172463154.

Almost surely, 2198676890432 is an apocalyptic number.

198676890432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198676890432 is an abundant number, since it is smaller than the sum of its proper divisors (370794545426).

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

198676890432 is a wasteful number, since it uses less digits than its factorization.

198676890432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344925175 (or 344925162 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 198676890432 in words is "one hundred ninety-eight billion, six hundred seventy-six million, eight hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 344925157 689850314 1034775471 1379700628 2069550942 2759401256 3104326413 4139101884 5518802512 6208652826 8278203768 11037605024 12417305652 16556407536 22075210048 24834611304 33112815072 49669222608 66225630144 99338445216 198676890432