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199387663488 = 273213192973331
BaseRepresentation
bin1011100110110001101…
…1100100110010000000
3201001122200001202201100
42321230123210302000
511231321220212423
6231333013334400
720256004114236
oct2715433446200
9631580052640
10199387663488
1177618157772
1232786637400
1315a574c4390
149916a46956
1552be81b343
hex2e6c6e4c80

199387663488 has 768 divisors, whose sum is σ = 684120528000. Its totient is φ = 55180984320.

The previous prime is 199387663451. The next prime is 199387663529. The reversal of 199387663488 is 884366783991.

199387663488 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 87 + 6 + 63 + 488 = 666.

It is a super-2 number, since 2×1993876634882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 602379483 + ... + 602379813.

Almost surely, 2199387663488 is an apocalyptic number.

199387663488 is a gapful number since it is divisible by the number (18) 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 199387663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342060264000).

199387663488 is an abundant number, since it is smaller than the sum of its proper divisors (484732864512).

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

199387663488 is a wasteful number, since it uses less digits than its factorization.

199387663488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 199387663488 in words is "one hundred ninety-nine billion, three hundred eighty-seven million, six hundred sixty-three thousand, four hundred eighty-eight".