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199446863616 = 283271113175087
BaseRepresentation
bin1011100110111111110…
…1011001111100000000
3201001210210110110000200
42321233331121330000
511231431344113431
6231342530245200
720260323240330
oct2715775317400
9631723413020
10199446863616
11776486116a0
12327a2426800
1315a66851240
1499208570c0
1552c4b11ee6
hex2e6ff59f00

199446863616 has 864 divisors, whose sum is σ = 817679536128. Its totient is φ = 44997672960.

The previous prime is 199446863611. The next prime is 199446863621. The reversal of 199446863616 is 616368644991.

199446863616 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 4 + 6 + 8 + 6 + 3 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (199446863611) and next prime (199446863621).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199446863611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39204625 + ... + 39209711.

It is an arithmetic number, because the mean of its divisors is an integer number (946388352).

Almost surely, 2199446863616 is an apocalyptic number.

199446863616 is a gapful number since it is divisible by the number (16) 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 199446863616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408839768064).

199446863616 is an abundant number, since it is smaller than the sum of its proper divisors (618232672512).

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

199446863616 is a wasteful number, since it uses less digits than its factorization.

199446863616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5140 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 199446863616 in words is "one hundred ninety-nine billion, four hundred forty-six million, eight hundred sixty-three thousand, six hundred sixteen".