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199406020320 = 25345132181503
BaseRepresentation
bin1011100110110110000…
…1100110011011100000
3201001200221121101120000
42321231201212123200
511231340420122240
6231334511020000
720256316130553
oct2715541463340
9631627541500
10199406020320
1177627555501
123279080a600
1315a5b250900
14991926469a
1552c1245430
hex2e6d8666e0

199406020320 has 720 divisors, whose sum is σ = 767768313312. Its totient is φ = 48716328960.

The previous prime is 199406020313. The next prime is 199406020327. The reversal of 199406020320 is 23020604991.

199406020320 is a `hidden beast` number, since 1 + 9 + 9 + 40 + 602 + 0 + 3 + 2 + 0 = 666.

199406020320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199406020313) and next prime (199406020327).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199406020327) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 396433189 + ... + 396433691.

Almost surely, 2199406020320 is an apocalyptic number.

199406020320 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 199406020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383884156656).

199406020320 is an abundant number, since it is smaller than the sum of its proper divisors (568362292992).

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

199406020320 is a wasteful number, since it uses less digits than its factorization.

199406020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 199406020320 in words is "one hundred ninety-nine billion, four hundred six million, twenty thousand, three hundred twenty".