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10207750000 = 2456719307
BaseRepresentation
bin10011000000110110…
…11110011101110000
3222100101200102112211
421200123132131300
5131401141000000
64404523301504
7510646305040
oct114033363560
928311612484
1010207750000
114369010728
121b8a67a894
13c68a59176
146cb9a1720
153eb2487ba
hex2606de770

10207750000 has 280 divisors, whose sum is σ = 29837118080. Its totient is φ = 3304800000.

The previous prime is 10207749997. The next prime is 10207750027. The reversal of 10207750000 is 5770201.

10207750000 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 (280).

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 55 ways as a sum of consecutive naturals, for example, 33249847 + ... + 33250153.

It is an arithmetic number, because the mean of its divisors is an integer number (106561136).

Almost surely, 210207750000 is an apocalyptic number.

10207750000 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 10207750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918559040).

10207750000 is an abundant number, since it is smaller than the sum of its proper divisors (19629368080).

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

10207750000 is an frugal number, since it uses more digits than its factorization.

10207750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The spelling of 10207750000 in words is "ten billion, two hundred seven million, seven hundred fifty thousand".