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13397105475 = 3252135389971
BaseRepresentation
bin11000111101000011…
…11001101101000011
31021120200000110202200
430132201321231003
5204414124333400
610053214244243
7652664342355
oct143641715503
937520013680
1013397105475
1157553536a6
12271a7b6683
13135673b960
149113b90d5
15536242b00
hex31e879b43

13397105475 has 144 divisors (see below), whose sum is σ = 26652356640. Its totient is φ = 6391756800.

The previous prime is 13397105473. The next prime is 13397105537. The reversal of 13397105475 is 57450179331.

13397105475 is a `hidden beast` number, since 1 + 3 + 3 + 97 + 10 + 547 + 5 = 666.

It is not a de Polignac number, because 13397105475 - 21 = 13397105473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13397105475.

It is not an unprimeable number, because it can be changed into a prime (13397105471) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13796740 + ... + 13797710.

It is an arithmetic number, because the mean of its divisors is an integer number (185085810).

Almost surely, 213397105475 is an apocalyptic number.

13397105475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13397105475 is a deficient number, since it is larger than the sum of its proper divisors (13255251165).

13397105475 is a wasteful number, since it uses less digits than its factorization.

13397105475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 13397105475 in words is "thirteen billion, three hundred ninety-seven million, one hundred five thousand, four hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 39 45 53 65 75 89 117 159 195 225 265 267 325 445 477 585 689 795 801 971 975 1157 1325 1335 2067 2225 2385 2913 2925 3445 3471 3975 4005 4717 4855 5785 6201 6675 8739 10335 10413 11925 12623 14151 14565 17225 17355 20025 23585 24275 28925 31005 37869 42453 43695 51463 51675 52065 61321 63115 70755 72825 86419 86775 113607 117925 154389 155025 183963 189345 212265 218475 257315 259257 260325 306605 315575 353775 432095 463167 551889 568035 669019 771945 777771 919815 946725 1061325 1123447 1286575 1296285 1533025 2007057 2160475 2315835 2759445 2840175 3345095 3370341 3859725 3888855 4580207 4599075 5617235 6021171 6481425 10035285 10111023 11579175 13740621 13797225 16725475 16851705 19444275 22901035 28086175 30105855 41221863 50176425 50555115 59542691 68703105 84258525 114505175 150529275 178628073 206109315 252775575 297713455 343515525 535884219 893140365 1030546575 1488567275 2679421095 4465701825 13397105475