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199498844160 = 2113357119371
BaseRepresentation
bin1011100111001100001…
…1101100100000000000
3201001221102021022221000
42321303003230200000
511232033201003120
6231352024332000
720261524124160
oct2716303544000
9631842238830
10199498844160
1177674995420
12327b7914000
1315a74550c65
1499277085a0
1552c947d990
hex2e730ec800

199498844160 has 768 divisors, whose sum is σ = 884236953600. Its totient is φ = 41449881600.

The previous prime is 199498844141. The next prime is 199498844189. The reversal of 199498844160 is 61448894991.

199498844160 is a `hidden beast` number, since 1 + 9 + 9 + 498 + 84 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1994988441602 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21284275 + ... + 21293645.

It is an arithmetic number, because the mean of its divisors is an integer number (1151350200).

Almost surely, 2199498844160 is an apocalyptic number.

199498844160 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 199498844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442118476800).

199498844160 is an abundant number, since it is smaller than the sum of its proper divisors (684738109440).

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

199498844160 is a wasteful number, since it uses less digits than its factorization.

199498844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9399 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 199498844160 in words is "one hundred ninety-nine billion, four hundred ninety-eight million, eight hundred forty-four thousand, one hundred sixty".