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10753740000 = 25325459743
BaseRepresentation
bin10100000001111100…
…10000110011100000
31000202110001121000200
422000332100303200
5134010424140000
64535025545200
7530326165443
oct120076206340
930673047020
1010753740000
11461922a033
1221014a5200
131024bc4383
147402c965a
1542e148500
hex280f90ce0

10753740000 has 180 divisors, whose sum is σ = 38214592416. Its totient is φ = 2867616000.

The previous prime is 10753739933. The next prime is 10753740043. The reversal of 10753740000 is 4735701.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 150129 + ... + 209871.

Almost surely, 210753740000 is an apocalyptic number.

10753740000 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 10753740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19107296208).

10753740000 is an abundant number, since it is smaller than the sum of its proper divisors (27460852416).

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

10753740000 is an equidigital number, since it uses as much as digits as its factorization.

10753740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59779 (or 59753 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 10753740000 in words is "ten billion, seven hundred fifty-three million, seven hundred forty thousand".