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198327432144 = 24310039411577
BaseRepresentation
bin1011100010110100111…
…1000111001111010000
3200221220210001102201210
42320231033013033100
511222133310312034
6231035501100120
720220511233612
oct2705517071720
9627823042653
10198327432144
1177123735216
123252b557640
1315918958b5a
149855cdadb2
15525b6dd8e9
hex2e2d3c73d0

198327432144 has 40 divisors (see below), whose sum is σ = 512398146880. Its totient is φ = 66102398208.

The previous prime is 198327432143. The next prime is 198327432151. The reversal of 198327432144 is 441234723891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 198327432093 and 198327432102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198327432143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276084 + ... + 687660.

It is an arithmetic number, because the mean of its divisors is an integer number (12809953672).

Almost surely, 2198327432144 is an apocalyptic number.

It is an amenable number.

198327432144 is an abundant number, since it is smaller than the sum of its proper divisors (314070714736).

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

198327432144 is a wasteful number, since it uses less digits than its factorization.

198327432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421627 (or 421621 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 198327432144 in words is "one hundred ninety-eight billion, three hundred twenty-seven million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 10039 20078 30117 40156 60234 80312 120468 160624 240936 411577 481872 823154 1234731 1646308 2469462 3292616 4938924 6585232 9877848 19755696 4131821503 8263643006 12395464509 16527286012 24790929018 33054572024 49581858036 66109144048 99163716072 198327432144