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1653142153 = 131993491831
BaseRepresentation
bin110001010001000…
…1111001010001001
311021012200022201011
41202202033022021
511341201022103
6432012323521
755652322265
oct14242171211
94235608634
101653142153
11779179193
123a17735a1
13204651430
141197a90a5
159a1e9d6d
hex6288f289

1653142153 has 16 divisors (see below), whose sum is σ = 1795360000. Its totient is φ = 1513131840.

The previous prime is 1653142123. The next prime is 1653142163. The reversal of 1653142153 is 3512413561.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1653142153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1653142103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901948 + ... + 903778.

It is an arithmetic number, because the mean of its divisors is an integer number (112210000).

Almost surely, 21653142153 is an apocalyptic number.

1653142153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1653142153 is a deficient number, since it is larger than the sum of its proper divisors (142217847).

1653142153 is a wasteful number, since it uses less digits than its factorization.

1653142153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392.

The product of its digits is 10800, while the sum is 31.

The square root of 1653142153 is about 40658.8508568553. The cubic root of 1653142153 is about 1182.4153707013.

The spelling of 1653142153 in words is "one billion, six hundred fifty-three million, one hundred forty-two thousand, one hundred fifty-three".

Divisors: 1 13 199 349 1831 2587 4537 23803 69451 364369 639019 902863 4736797 8307247 127164781 1653142153