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199897274304 = 26357131371031
BaseRepresentation
bin1011101000101011001…
…1100101011111000000
3201002222011222200100000
42322022303211133000
511233342200234204
6231455340200000
720304432540120
oct2721263453700
9632864880300
10199897274304
1177859888932
12328a9239000
1315b08c62b40
1499645c0c80
1552ee432039
hex2e8ace57c0

199897274304 has 672 divisors, whose sum is σ = 737363966976. Its totient is φ = 52284579840.

The previous prime is 199897274243. The next prime is 199897274329. The reversal of 199897274304 is 403472798991.

199897274304 is a `hidden beast` number, since 1 + 9 + 98 + 97 + 27 + 430 + 4 = 666.

199897274304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193886269 + ... + 193887299.

It is an arithmetic number, because the mean of its divisors is an integer number (1097267808).

Almost surely, 2199897274304 is an apocalyptic number.

199897274304 is a gapful number since it is divisible by the number (14) 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 199897274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368681983488).

199897274304 is an abundant number, since it is smaller than the sum of its proper divisors (537466692672).

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

199897274304 is a wasteful number, since it uses less digits than its factorization.

199897274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 199897274304 in words is "one hundred ninety-nine billion, eight hundred ninety-seven million, two hundred seventy-four thousand, three hundred four".