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199135630080 = 2832597178207
BaseRepresentation
bin1011100101110101101…
…0001001001100000000
3201001000002211010212200
42321131122021030000
511230312210130310
6231252011353200
720246523633042
oct2713532111400
9631002733780
10199135630080
11774a89652a2
1232716152800
1315a1721c29a
1498d139ba92
1552a76349c0
hex2e5d689300

199135630080 has 216 divisors, whose sum is σ = 696095417472. Its totient is φ = 52555087872.

The previous prime is 199135630051. The next prime is 199135630129. The reversal of 199135630080 is 80036531991.

199135630080 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 3 + 5 + 630 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028337 + ... + 1206543.

Almost surely, 2199135630080 is an apocalyptic number.

199135630080 is a gapful number since it is divisible by the number (10) 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 199135630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348047708736).

199135630080 is an abundant number, since it is smaller than the sum of its proper divisors (496959787392).

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

199135630080 is a wasteful number, since it uses less digits than its factorization.

199135630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178331 (or 178314 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 199135630080 in words is "one hundred ninety-nine billion, one hundred thirty-five million, six hundred thirty thousand, eighty".