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1353005435457 = 321311564149021
BaseRepresentation
bin10011101100000101011…
…010001000101001000001
311210100100021102120020100
4103230011122020221001
5134131423342413312
62513321230033013
7166515510305544
oct23540532105101
94710307376210
101353005435457
114818963283a5
1219a27a948769
139a784702730
14496b30d885b
15252dc5845dc
hex13b05688a41

1353005435457 has 12 divisors (see below), whose sum is σ = 2104675122004. Its totient is φ = 832618729440.

The previous prime is 1353005435449. The next prime is 1353005435497. The reversal of 1353005435457 is 7545345003531.

1353005435457 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 0 + 543 + 54 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176266465281 + 1176738970176 = 419841^2 + 1084776^2 .

It is not a de Polignac number, because 1353005435457 - 23 = 1353005435449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1353005435497) 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, 5782074394 + ... + 5782074627.

Almost surely, 21353005435457 is an apocalyptic number.

It is an amenable number.

1353005435457 is a deficient number, since it is larger than the sum of its proper divisors (751669686547).

1353005435457 is a wasteful number, since it uses less digits than its factorization.

1353005435457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11564149040 (or 11564149037 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 1353005435457 in words is "one trillion, three hundred fifty-three billion, five million, four hundred thirty-five thousand, four hundred fifty-seven".

Divisors: 1 3 9 13 39 117 11564149021 34692447063 104077341189 150333937273 451001811819 1353005435457