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1152090570640 = 24586316687291
BaseRepresentation
bin10000110000111101111…
…100101111111110010000
311002010202011122221010211
4100300331330233332100
5122333440141230030
62241132455133504
7146143610162302
oct20607574577620
94063664587124
101152090570640
11404665101779
12167348974294
13848459b3c39
143da9370b972
151ee7db4912a
hex10c3df2ff90

1152090570640 has 40 divisors (see below), whose sum is σ = 2681714573568. Its totient is φ = 460302207360.

The previous prime is 1152090570607. The next prime is 1152090570733. The reversal of 1152090570640 is 460750902511.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1152090570593 and 1152090570602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8274606 + ... + 8412685.

Almost surely, 21152090570640 is an apocalyptic number.

1152090570640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1152090570640 is an abundant number, since it is smaller than the sum of its proper divisors (1529624002928).

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

1152090570640 is a wasteful number, since it uses less digits than its factorization.

1152090570640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16688167 (or 16688161 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 1152090570640 in words is "one trillion, one hundred fifty-two billion, ninety million, five hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 863 1726 3452 4315 6904 8630 13808 17260 34520 69040 16687291 33374582 66749164 83436455 133498328 166872910 266996656 333745820 667491640 1334983280 14401132133 28802264266 57604528532 72005660665 115209057064 144011321330 230418114128 288022642660 576045285320 1152090570640