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13645401164415 = 3252963116570913
BaseRepresentation
bin1100011010010001000101…
…0010100000101001111111
31210022111011110122200221200
43012210101102200221333
53242031240144230130
645004335531230543
72605563522106266
oct306442122405177
953274143580850
1013645401164415
114390a8924a079
1216446a12a8453
1377c9a9685347
14352625d235dd
15189e35286760
hexc69114a0a7f

13645401164415 has 48 divisors (see below), whose sum is σ = 24506393296320. Its totient is φ = 7015461304320.

The previous prime is 13645401164387. The next prime is 13645401164429. The reversal of 13645401164415 is 51446110454631.

13645401164415 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 540 + 1 + 1 + 64 + 41 + 5 = 666.

It is not a de Polignac number, because 13645401164415 - 27 = 13645401164287 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7462002 + ... + 9108911.

It is an arithmetic number, because the mean of its divisors is an integer number (510549860340).

Almost surely, 213645401164415 is an apocalyptic number.

13645401164415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13645401164415 is a deficient number, since it is larger than the sum of its proper divisors (10860992131905).

13645401164415 is a wasteful number, since it uses less digits than its factorization.

13645401164415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16571584 (or 16571581 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 13645401164415 in words is "thirteen trillion, six hundred forty-five billion, four hundred one million, one hundred sixty-four thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 631 1305 1893 3155 5679 9465 18299 28395 54897 91495 164691 274485 823455 16570913 49712739 82854565 149138217 248563695 480556477 745691085 1441669431 2402782385 4325008293 7208347155 10456246103 21625041465 31368738309 52281230515 94106214927 156843691545 303231136987 470531074635 909693410961 1516155684935 2729080232883 4548467054805 13645401164415