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10298473920 = 263357170279
BaseRepresentation
bin10011001011101011…
…00011110111000000
3222120201101200101000
421211311203313000
5132042402131140
64421524012000
7513130404210
oct114565436700
928521350330
1010298473920
114405246979
121bb4b31000
13c817a2767
146d9a5a240
154041b9a30
hex265d63dc0

10298473920 has 224 divisors, whose sum is σ = 41521075200. Its totient is φ = 2353923072.

The previous prime is 10298473919. The next prime is 10298473967. The reversal of 10298473920 is 2937489201.

10298473920 is a `hidden beast` number, since 1 + 0 + 2 + 98 + 473 + 92 + 0 = 666.

10298473920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 24660 + ... + 145619.

Almost surely, 210298473920 is an apocalyptic number.

10298473920 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 10298473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20760537600).

10298473920 is an abundant number, since it is smaller than the sum of its proper divisors (31222601280).

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

10298473920 is a wasteful number, since it uses less digits than its factorization.

10298473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170312 (or 170296 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10298473920 in words is "ten billion, two hundred ninety-eight million, four hundred seventy-three thousand, nine hundred twenty".