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198372474570816 = 26347513434073
BaseRepresentation
bin101101000110101100110000…
…111000010100100001000000
3222000101020000211101220020000
4231012230300320110201000
5202000113311442231231
61541523020131120000
756532636563400000
oct5506546070244100
9860336024356200
10198372474570816
1158231326376587
121a2b9ab8443000
13868c5a0868850
1436db3c9800000
1517e01cb2376e6
hexb46b30e14840

198372474570816 has 1680 divisors, whose sum is σ = 756178153847424. Its totient is φ = 51088770883584.

The previous prime is 198372474570763. The next prime is 198372474570839. The reversal of 198372474570816 is 618075474273891.

It is a happy number.

198372474570816 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 7 + 2 + 47 + 4 + 570 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48704263756 + ... + 48704267828.

It is a 1-persistent number, because it is pandigital, but 2⋅198372474570816 = 396744949141632 is not.

Almost surely, 2198372474570816 is an apocalyptic number.

198372474570816 is a gapful number since it is divisible by the number (16) 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 198372474570816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378089076923712).

198372474570816 is an abundant number, since it is smaller than the sum of its proper divisors (557805679276608).

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

198372474570816 is an frugal number, since it uses more digits than its factorization.

198372474570816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 198372474570816 in words is "one hundred ninety-eight trillion, three hundred seventy-two billion, four hundred seventy-four million, five hundred seventy thousand, eight hundred sixteen".