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9113628960 = 253256328909
BaseRepresentation
bin10000111110011011…
…01111000100100000
3212112010220022122100
420133031233010200
5122131042111320
64104200410400
7441562365552
oct103715570440
925463808570
109113628960
113957451367
121924176a00
13b23186377
146265534d2
15385174790
hex21f36f120

9113628960 has 72 divisors (see below), whose sum is σ = 31100263740. Its totient is φ = 2430300672.

The previous prime is 9113628947. The next prime is 9113628967. The reversal of 9113628960 is 698263119.

It is a happy number.

9113628960 is a `hidden beast` number, since 9 + 1 + 13 + 628 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8145423504 + 968205456 = 90252^2 + 31116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9113628967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3163015 + ... + 3165894.

Almost surely, 29113628960 is an apocalyptic number.

9113628960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9113628960 is an abundant number, since it is smaller than the sum of its proper divisors (21986634780).

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

9113628960 is a wasteful number, since it uses less digits than its factorization.

9113628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328930 (or 6328919 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9113628960 is about 95465.3285753524. The cubic root of 9113628960 is about 2088.8012294754.

The spelling of 9113628960 in words is "nine billion, one hundred thirteen million, six hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 6328909 12657818 18986727 25315636 31644545 37973454 50631272 56960181 63289090 75946908 94933635 101262544 113920362 126578180 151893816 189867270 202525088 227840724 253156360 284800905 303787632 379734540 455681448 506312720 569601810 607575264 759469080 911362896 1012625440 1139203620 1518938160 1822725792 2278407240 3037876320 4556814480 9113628960