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192996748667520 = 2732574192293143
BaseRepresentation
bin101011111000011110001110…
…101001011010101010000000
3221022100022100020201021111200
4223320132032221122222000
5200244024320124330040
61522245252104341200
755436361230220000
oct5370361651325200
9838308306637450
10192996748667520
1156549509231876
1219790090774800
13838c691190ca5
143593141a80000
15174a44d202630
hexaf878ea5aa80

192996748667520 has 5760 divisors, whose sum is σ = 896595959001600. Its totient is φ = 38140929146880.

The previous prime is 192996748667461. The next prime is 192996748667533. The reversal of 192996748667520 is 25766847699291.

It is a happy number.

192996748667520 is a `hidden beast` number, since 1 + 9 + 2 + 9 + 9 + 6 + 7 + 4 + 86 + 6 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a self number, because there is not a number n which added to its sum of digits gives 192996748667520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 4488296480619 + ... + 4488296480661.

It is an arithmetic number, because the mean of its divisors is an integer number (155659020660).

Almost surely, 2192996748667520 is an apocalyptic number.

192996748667520 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 192996748667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448297979500800).

192996748667520 is an abundant number, since it is smaller than the sum of its proper divisors (703599210334080).

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

192996748667520 is a wasteful number, since it uses less digits than its factorization.

192996748667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 192996748667520 in words is "one hundred ninety-two trillion, nine hundred ninety-six billion, seven hundred forty-eight million, six hundred sixty-seven thousand, five hundred twenty".