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189998618472 = 2332131910979739
BaseRepresentation
bin1011000011110011001…
…1001101011101101000
3200011102022220212021100
42300330303031131220
511103104121242342
6223141213441400
716504225416165
oct2607463153550
9604368825240
10189998618472
117363a2a3233
12309a61a0260
1314bbc269c40
1492a5abd06c
154e203e1e4c
hex2c3cccd768

189998618472 has 192 divisors, whose sum is σ = 583920792000. Its totient is φ = 55328044032.

The previous prime is 189998618417. The next prime is 189998618479. The reversal of 189998618472 is 274816899981.

189998618472 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 98 + 61 + 8 + 472 = 666.

It is a super-2 number, since 2×1899986184722 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 189998618472.

It is not an unprimeable number, because it can be changed into a prime (189998618479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19504179 + ... + 19513917.

It is an arithmetic number, because the mean of its divisors is an integer number (3041254125).

Almost surely, 2189998618472 is an apocalyptic number.

189998618472 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 189998618472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291960396000).

189998618472 is an abundant number, since it is smaller than the sum of its proper divisors (393922173528).

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

189998618472 is a wasteful number, since it uses less digits than its factorization.

189998618472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10880 (or 10873 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 72.

The spelling of 189998618472 in words is "one hundred eighty-nine billion, nine hundred ninety-eight million, six hundred eighteen thousand, four hundred seventy-two".