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10274364000 = 253453191669
BaseRepresentation
bin10011001000110011…
…00101101001100000
3222112001000202210000
421210121211221200
5132020214122000
64415303140000
7512415436665
oct114431455140
928461022700
1010274364000
1143a267981a
121ba8a44600
13c797b0734
146d6781a6c
15402006000
hex264665a60

10274364000 has 480 divisors, whose sum is σ = 39718879200. Its totient is φ = 2594073600.

The previous prime is 10274363993. The next prime is 10274364011. The reversal of 10274364000 is 46347201.

10274364000 is a `hidden beast` number, since 10 + 2 + 7 + 4 + 3 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6155166 + ... + 6156834.

It is an arithmetic number, because the mean of its divisors is an integer number (82747665).

Almost surely, 210274364000 is an apocalyptic number.

10274364000 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 10274364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19859439600).

10274364000 is an abundant number, since it is smaller than the sum of its proper divisors (29444515200).

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

10274364000 is a wasteful number, since it uses less digits than its factorization.

10274364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10274364000 in words is "ten billion, two hundred seventy-four million, three hundred sixty-four thousand".