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101559990680640 = 2631252920593
BaseRepresentation
bin10111000101111001000111…
…001010101111110001000000
3111022121001002101000000000000
4113011321013022233301000
5101302424330103240030
61000000003213000000
730251316150142332
oct2705710712576100
9438531071000000
10101559990680640
112a3a6394091878
12b48300b483000
1344890b20a58cb
141b1175b9c7452
15bb1c1d67a860
hex5c5e472afc40

101559990680640 has 728 divisors, whose sum is σ = 375286530873240. Its totient is φ = 26147509420032.

The previous prime is 101559990680527. The next prime is 101559990680783. The reversal of 101559990680640 is 46086099955101.

101559990680640 is a `hidden beast` number, since 10 + 1 + 559 + 9 + 9 + 0 + 6 + 8 + 0 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36505183970304 + 65054806710336 = 6041952^2 + 8065656^2 .

It is a Leyland number of the form 186 + 618.

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 103 ways as a sum of consecutive naturals, for example, 4931762184 + ... + 4931782776.

Almost surely, 2101559990680640 is an apocalyptic number.

101559990680640 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 101559990680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187643265436620).

101559990680640 is an abundant number, since it is smaller than the sum of its proper divisors (273726540192600).

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

101559990680640 is an frugal number, since it uses more digits than its factorization.

101559990680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20675 (or 20632 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 101559990680640 in words is "one hundred one trillion, five hundred fifty-nine billion, nine hundred ninety million, six hundred eighty thousand, six hundred forty".