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198374239872 = 2732209982039
BaseRepresentation
bin1011100011000000000…
…1101010111010000000
3200222001001010111212100
42320300001222322000
511222232301133442
6231044252230400
720221620134364
oct2706001527200
9628031114770
10198374239872
11771480a5596
123254316b400
1315925567233
14985c2032a4
15526088784c
hex2e3006ae80

198374239872 has 96 divisors (see below), whose sum is σ = 571121460000. Its totient is φ = 66092438016.

The previous prime is 198374239823. The next prime is 198374239879. The reversal of 198374239872 is 278932473891.

198374239872 is a `hidden beast` number, since 1 + 98 + 37 + 423 + 98 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (198374239879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2377029 + ... + 2459067.

It is an arithmetic number, because the mean of its divisors is an integer number (5949181875).

Almost surely, 2198374239872 is an apocalyptic number.

198374239872 is a gapful number since it is divisible by the number (12) 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 198374239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285560730000).

198374239872 is an abundant number, since it is smaller than the sum of its proper divisors (372747220128).

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

198374239872 is a wasteful number, since it uses less digits than its factorization.

198374239872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84158 (or 84143 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 198374239872 in words is "one hundred ninety-eight billion, three hundred seventy-four million, two hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2099 4198 6297 8396 12594 16792 18891 25188 33584 37782 50376 67168 75564 82039 100752 134336 151128 164078 201504 246117 268672 302256 328156 403008 492234 604512 656312 738351 806016 984468 1209024 1312624 1476702 1968936 2418048 2625248 2953404 3937872 5250496 5906808 7875744 10500992 11813616 15751488 23627232 31502976 47254464 94508928 172199861 344399722 516599583 688799444 1033199166 1377598888 1549798749 2066398332 2755197776 3099597498 4132796664 5510395552 6199194996 8265593328 11020791104 12398389992 16531186656 22041582208 24796779984 33062373312 49593559968 66124746624 99187119936 198374239872