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13775628405 = 3571112793913
BaseRepresentation
bin11001101010001011…
…10110100001110101
31022120001021102121110
430311011312201311
5211203030102110
610154535305233
7665241623640
oct146505664165
938501242543
1013775628405
115929a8a570
12280551b219
1313b6ca0716
1494978ca57
155595b2a20
hex335176875

13775628405 has 64 divisors (see below), whose sum is σ = 27696365568. Its totient is φ = 5679797760.

The previous prime is 13775628389. The next prime is 13775628407. The reversal of 13775628405 is 50482657731.

It is not a de Polignac number, because 13775628405 - 24 = 13775628389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13775628407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99729 + ... + 193641.

It is an arithmetic number, because the mean of its divisors is an integer number (432755712).

Almost surely, 213775628405 is an apocalyptic number.

13775628405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13775628405 is an abundant number, since it is smaller than the sum of its proper divisors (13920737163).

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

13775628405 is a wasteful number, since it uses less digits than its factorization.

13775628405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94066.

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 13775628405 in words is "thirteen billion, seven hundred seventy-five million, six hundred twenty-eight thousand, four hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 127 165 231 381 385 635 889 1155 1397 1905 2667 4191 4445 6985 9779 13335 20955 29337 48895 93913 146685 281739 469565 657391 1033043 1408695 1972173 3099129 3286955 5165215 7231301 9860865 11926951 15495645 21693903 35780853 36156505 59634755 83488657 108469515 131196461 178904265 250465971 393589383 417443285 655982305 918375227 1252329855 1967946915 2755125681 4591876135 13775628405