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1353441355664 = 24174975887337
BaseRepresentation
bin10011101100011111011…
…001000010011110010000
311210101110122200121100012
4103230133121002132100
5134133321441340124
62513432401214052
7166532352464126
oct23543731023620
94711418617305
101353441355664
11481a9a3a7732
1219a380931328
139a823b0c898
1449714d6d916
1525315990e0e
hex13b1f642790

1353441355664 has 20 divisors (see below), whose sum is σ = 2776545134604. Its totient is φ = 636913579008.

The previous prime is 1353441355649. The next prime is 1353441355687. The reversal of 1353441355664 is 4665531443531.

It can be written as a sum of positive squares in 2 ways, for example, as 824173465600 + 529267890064 = 907840^2 + 727508^2 .

It is a super-2 number, since 2×13534413556642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2487943397 + ... + 2487943940.

Almost surely, 21353441355664 is an apocalyptic number.

It is an amenable number.

1353441355664 is an abundant number, since it is smaller than the sum of its proper divisors (1423103778940).

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

1353441355664 is a wasteful number, since it uses less digits than its factorization.

1353441355664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975887362 (or 4975887356 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 50.

The spelling of 1353441355664 in words is "one trillion, three hundred fifty-three billion, four hundred forty-one million, three hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 4975887337 9951774674 19903549348 39807098696 79614197392 84590084729 169180169458 338360338916 676720677832 1353441355664