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199318943376 = 243471719251271
BaseRepresentation
bin1011100110100001010…
…1011011011010010000
3201001110212202102110000
42321220111123122100
511231201122142001
6231322120410000
720254211031120
oct2715025333220
9631425672400
10199318943376
1177592390293
1232767616900
1315a461b32a7
14990b878c80
1552b8794a86
hex2e6855b690

199318943376 has 800 divisors, whose sum is σ = 740472606720. Its totient is φ = 50388480000.

The previous prime is 199318943311. The next prime is 199318943381. The reversal of 199318943376 is 673349813991.

199318943376 is a `hidden beast` number, since 1 + 99 + 31 + 89 + 433 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 735494121 + ... + 735494391.

Almost surely, 2199318943376 is an apocalyptic number.

199318943376 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 199318943376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370236303360).

199318943376 is an abundant number, since it is smaller than the sum of its proper divisors (541153663344).

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

199318943376 is a wasteful number, since it uses less digits than its factorization.

199318943376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 570 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 199318943376 in words is "one hundred ninety-nine billion, three hundred eighteen million, nine hundred forty-three thousand, three hundred seventy-six".