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198731079008 = 25711233124189
BaseRepresentation
bin1011100100010101001…
…0111001110101100000
3200222221220120211010122
42321011102321311200
511224000124012013
6231143520415412
720233512204620
oct2710522716540
9628856524118
10198731079008
1177310571070
1232622777568
1315981476357
149893770880
155281d72a08
hex2e454b9d60

198731079008 has 576 divisors, whose sum is σ = 544833838080. Its totient is φ = 69138432000.

The previous prime is 198731078999. The next prime is 198731079013. The reversal of 198731079008 is 800970137891.

It is a super-4 number, since 4×1987310790084 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2232933428 + ... + 2232933516.

It is an arithmetic number, because the mean of its divisors is an integer number (945892080).

Almost surely, 2198731079008 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 198731079008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272416919040).

198731079008 is an abundant number, since it is smaller than the sum of its proper divisors (346102759072).

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

198731079008 is a wasteful number, since it uses less digits than its factorization.

198731079008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 53.

The spelling of 198731079008 in words is "one hundred ninety-eight billion, seven hundred thirty-one million, seventy-nine thousand, eight".