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9001971144 = 2332125027377
BaseRepresentation
bin10000110001000111…
…10010110111001000
3212020100210111220200
420120203302313020
5121414001034034
64045131252200
7436035330555
oct103043626710
925210714820
109001971144
1138aa418181
1218b28aa060
13b05cc055a
146157a9a2c
1537a46aa99
hex2188f2dc8

9001971144 has 24 divisors (see below), whose sum is σ = 24380338710. Its totient is φ = 3000657024.

The previous prime is 9001971133. The next prime is 9001971151. The reversal of 9001971144 is 4411791009.

It can be written as a sum of positive squares in only one way, i.e., 5831155044 + 3170816100 = 76362^2 + 56310^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 9001971099 and 9001971108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62513617 + ... + 62513760.

Almost surely, 29001971144 is an apocalyptic number.

It is an amenable number.

9001971144 is an abundant number, since it is smaller than the sum of its proper divisors (15378367566).

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

9001971144 is a wasteful number, since it uses less digits than its factorization.

9001971144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125027389 (or 125027382 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9001971144 is about 94878.7180773434. The cubic root of 9001971144 is about 2080.2356691797.

The spelling of 9001971144 in words is "nine billion, one million, nine hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 125027377 250054754 375082131 500109508 750164262 1000219016 1125246393 1500328524 2250492786 3000657048 4500985572 9001971144