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13354084757 = 1321934011021
BaseRepresentation
bin11000110111111011…
…10010100110010101
31021110200001210102202
430123331302212111
5204322121203012
610045040214245
7651632563466
oct143375624625
937420053382
1013354084757
11573303a592
12270830a385
13134a858200
149097bad6d
15532595cc2
hex31bf72995

13354084757 has 24 divisors (see below), whose sum is σ = 14585783688. Its totient is φ = 12220416000.

The previous prime is 13354084753. The next prime is 13354084759. The reversal of 13354084757 is 75748045331.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3467560996 + 9886523761 = 58886^2 + 99431^2 .

It is not a de Polignac number, because 13354084757 - 22 = 13354084753 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354084753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13078907 + ... + 13079927.

It is an arithmetic number, because the mean of its divisors is an integer number (607740987).

Almost surely, 213354084757 is an apocalyptic number.

It is an amenable number.

13354084757 is a deficient number, since it is larger than the sum of its proper divisors (1231698931).

13354084757 is a wasteful number, since it uses less digits than its factorization.

13354084757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 13354084757 in words is "thirteen billion, three hundred fifty-four million, eighty-four thousand, seven hundred fifty-seven".

Divisors: 1 13 169 193 401 1021 2509 5213 13273 32617 67769 77393 172549 197053 409421 1006109 2561689 5322473 13079417 33301957 69192149 79018253 1027237289 13354084757