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199377239040 = 210325731127157
BaseRepresentation
bin1011100110101111001…
…1110011110000000000
3201001121221110011001200
42321223303303300000
511231311033122130
6231332002101200
720255516366250
oct2715363636000
9631557404050
10199377239040
1177612287721
123278304a800
1315a552b4575
1499154d1960
1552bd95c760
hex2e6bcf3c00

199377239040 has 1056 divisors, whose sum is σ = 826645807104. Its totient is φ = 43475927040.

The previous prime is 199377239027. The next prime is 199377239051. The reversal of 199377239040 is 40932773991.

199377239040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1269918642 + ... + 1269918798.

Almost surely, 2199377239040 is an apocalyptic number.

199377239040 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 199377239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413322903552).

199377239040 is an abundant number, since it is smaller than the sum of its proper divisors (627268568064).

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

199377239040 is a wasteful number, since it uses less digits than its factorization.

199377239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 199377239040 in words is "one hundred ninety-nine billion, three hundred seventy-seven million, two hundred thirty-nine thousand, forty".