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8865396540 = 22345721121371
BaseRepresentation
bin10000100000110101…
…10011011100111100
3211212211210210210000
420100122303130330
5121124020142130
64023412114300
7432456425100
oct102032633474
924784723700
108865396540
11383a315700
121875005990
13ab3912390
146015b7900
1536d48e260
hex2106b373c

8865396540 has 1080 divisors, whose sum is σ = 38834855136. Its totient is φ = 1676505600.

The previous prime is 8865396497. The next prime is 8865396557. The reversal of 8865396540 is 456935688.

It is a happy number.

8865396540 is a `hidden beast` number, since 8 + 8 + 6 + 5 + 3 + 96 + 540 = 666.

It is a super-2 number, since 2×88653965402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 124864705 + ... + 124864775.

Almost surely, 28865396540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8865396540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417427568).

8865396540 is an abundant number, since it is smaller than the sum of its proper divisors (29969458596).

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

8865396540 is a wasteful number, since it uses less digits than its factorization.

8865396540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 8865396540 is about 94156.2347378016. The cubic root of 8865396540 is about 2069.6618225115.

It can be divided in two parts, 88653 and 96540, that added together give a cube (185193 = 573).

The spelling of 8865396540 in words is "eight billion, eight hundred sixty-five million, three hundred ninety-six thousand, five hundred forty".