Search a number
-
+
13601985345 = 3451317151969
BaseRepresentation
bin11001010101011110…
…11101001101000001
31022002221112110010000
430222233131031001
5210324102012340
610125413430213
7661032652644
oct145257351501
938087473100
1013601985345
11584aa69a03
12277733b369
13138a014150
149306aba5b
15549212d30
hex32abdd341

13601985345 has 80 divisors (see below), whose sum is σ = 27803215440. Its totient is φ = 6302416896.

The previous prime is 13601985343. The next prime is 13601985347. The reversal of 13601985345 is 54358910631.

13601985345 is a `hidden beast` number, since 1 + 3 + 601 + 9 + 8 + 5 + 34 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13601985343) and next prime (13601985347).

It can be written as a sum of positive squares in 8 ways, for example, as 32764176 + 13569221169 = 5724^2 + 116487^2 .

It is not a de Polignac number, because 13601985345 - 21 = 13601985343 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 13601985345.

It is not an unprimeable number, because it can be changed into a prime (13601985343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13521 + ... + 165489.

It is an arithmetic number, because the mean of its divisors is an integer number (347540193).

Almost surely, 213601985345 is an apocalyptic number.

13601985345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13601985345 is an abundant number, since it is smaller than the sum of its proper divisors (14201230095).

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

13601985345 is a wasteful number, since it uses less digits than its factorization.

13601985345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152016 (or 152007 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13601985345 in words is "thirteen billion, six hundred one million, nine hundred eighty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 255 351 405 459 585 663 765 1053 1105 1377 1755 1989 2295 3315 5265 5967 6885 9945 17901 29835 89505 151969 455907 759845 1367721 1975597 2279535 2583473 4103163 5926791 6838605 7750419 9877985 12309489 12917365 17780373 20515815 23251257 29633955 33585149 38752095 53341119 61547445 69753771 88901865 100755447 116256285 160023357 167925745 209261313 266705595 302266341 348768855 503777235 800116785 906799023 1046306565 1511331705 2720397069 4533995115 13601985345