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10604325993984 = 29341931538191
BaseRepresentation
bin1001101001010000001100…
…0101010111111000000000
31101112202121201012120110000
42122110003011113320000
52342220124423301414
634315320552240000
72143065040500552
oct232240305277000
941482551176400
1010604325993984
1134192a6629958
1212332333a0000
135bbca3106988
14289375b454d2
15135c9997bb09
hex9a503157e00

10604325993984 has 800 divisors, whose sum is σ = 35044888412160. Its totient is φ = 3179177164800.

The previous prime is 10604325993893. The next prime is 10604325994001. The reversal of 10604325993984 is 48939952340601.

10604325993984 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 3 + 2 + 599 + 39 + 8 + 4 = 666.

It is a super-2 number, since 2×106043259939842 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1294627329 + ... + 1294635519.

Almost surely, 210604325993984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10604325993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17522444206080).

10604325993984 is an abundant number, since it is smaller than the sum of its proper divisors (24440562418176).

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

10604325993984 is an equidigital number, since it uses as much as digits as its factorization.

10604325993984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 10604325993984 in words is "ten trillion, six hundred four billion, three hundred twenty-five million, nine hundred ninety-three thousand, nine hundred eighty-four".