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10861492320 = 2532573134759
BaseRepresentation
bin10100001110110010…
…10011100001100000
31001000221210222102100
422013121103201200
5134221020223240
64553435250400
7533105106240
oct120731234140
931027728370
1010861492320
114674035a38
1221315a9a00
131041320643
14750737b20
1543882ee30
hex287653860

10861492320 has 288 divisors, whose sum is σ = 43727523840. Its totient is φ = 2402472960.

The previous prime is 10861492319. The next prime is 10861492357. The reversal of 10861492320 is 2329416801.

10861492320 is a `hidden beast` number, since 1 + 0 + 8 + 614 + 9 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295101 + ... + 329859.

It is an arithmetic number, because the mean of its divisors is an integer number (151831680).

Almost surely, 210861492320 is an apocalyptic number.

10861492320 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 10861492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21863761920).

10861492320 is an abundant number, since it is smaller than the sum of its proper divisors (32866031520).

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

10861492320 is a wasteful number, since it uses less digits than its factorization.

10861492320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34818 (or 34807 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10861492320 in words is "ten billion, eight hundred sixty-one million, four hundred ninety-two thousand, three hundred twenty".