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13042813455 = 335735293911
BaseRepresentation
bin11000010010110100…
…11000101000001111
31020122222100120111000
430021122120220033
5203202430012310
65554120431343
7641133041130
oct141132305017
936588316430
1013042813455
115593367881
122640018553
1312cb211cc9
148ba311c87
155150ac4c0
hex309698a0f

13042813455 has 64 divisors (see below), whose sum is σ = 26513971200. Its totient is φ = 5959215360.

The previous prime is 13042813447. The next prime is 13042813463. The reversal of 13042813455 is 55431824031.

13042813455 is a `hidden beast` number, since 1 + 30 + 4 + 281 + 345 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13042813447) and next prime (13042813463).

It is not a de Polignac number, because 13042813455 - 23 = 13042813447 is a prime.

It is a super-3 number, since 3×130428134553 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3332950 + ... + 3336860.

It is an arithmetic number, because the mean of its divisors is an integer number (414280800).

Almost surely, 213042813455 is an apocalyptic number.

13042813455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13042813455 is an abundant number, since it is smaller than the sum of its proper divisors (13471157745).

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

13042813455 is a wasteful number, since it uses less digits than its factorization.

13042813455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13042813455 in words is "thirteen billion, forty-two million, eight hundred thirteen thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 3529 3911 10587 11733 17645 19555 24703 27377 31761 35199 52935 58665 74109 82131 95283 105597 123515 136885 158805 175995 222327 246393 370545 410655 476415 527985 666981 739179 1111635 1231965 3334905 3695895 13801919 41405757 69009595 96613433 124217271 207028785 289840299 372651813 483067165 621086355 869520897 1449201495 1863259065 2608562691 4347604485 13042813455