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10001539000 = 235360716477
BaseRepresentation
bin10010101000010001…
…10101111110111000
3221211000122211020101
421110020311332320
5130440343222000
64332235405144
7502563451555
oct112410657670
927730584211
1010001539000
114272676312
121b315b37b4
13c35108b1b
146ac443a2c
153d80b3e6a
hex254235fb8

10001539000 has 64 divisors (see below), whose sum is σ = 23443580160. Its totient is φ = 3993782400.

The previous prime is 10001538971. The next prime is 10001539061. The reversal of 10001539000 is 93510001.

10001539000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 598762 + ... + 615238.

It is an arithmetic number, because the mean of its divisors is an integer number (366305940).

Almost surely, 210001539000 is an apocalyptic number.

10001539000 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 10001539000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721790080).

10001539000 is an abundant number, since it is smaller than the sum of its proper divisors (13442041160).

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

10001539000 is a wasteful number, since it uses less digits than its factorization.

10001539000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17105 (or 17091 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 19.

The spelling of 10001539000 in words is "ten billion, one million, five hundred thirty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 607 1000 1214 2428 3035 4856 6070 12140 15175 16477 24280 30350 32954 60700 65908 75875 82385 121400 131816 151750 164770 303500 329540 411925 607000 659080 823850 1647700 2059625 3295400 4119250 8238500 10001539 16477000 20003078 40006156 50007695 80012312 100015390 200030780 250038475 400061560 500076950 1000153900 1250192375 2000307800 2500384750 5000769500 10001539000