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34506055426365 = 32519353531141571
BaseRepresentation
bin1111101100010000100010…
…01011010010000100111101
311112011202011022221201000100
413312020101023102010331
514010321400142120430
6201215510225151313
710160660135505165
oct766102113220475
9145152138851010
1034506055426365
11aaa3a32798616
123a5360818b539
131633ba3a89773
1487415dc295a5
153ec8ad2ec960
hex1f62112d213d

34506055426365 has 48 divisors (see below), whose sum is σ = 62960252921280. Its totient is φ = 17434130100480.

The previous prime is 34506055426307. The next prime is 34506055426387. The reversal of 34506055426365 is 56362455060543.

It is a happy number.

34506055426365 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 6 + 0 + 554 + 26 + 3 + 65 = 666.

It is not a de Polignac number, because 34506055426365 - 28 = 34506055426109 is a prime.

It is a super-2 number, since 2×345060554263652 (a number of 28 digits) contains 22 as substring.

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, 29656030 + ... + 30797600.

It is an arithmetic number, because the mean of its divisors is an integer number (1311671935860).

Almost surely, 234506055426365 is an apocalyptic number.

It is an amenable number.

34506055426365 is a deficient number, since it is larger than the sum of its proper divisors (28454197494915).

34506055426365 is a wasteful number, since it uses less digits than its factorization.

34506055426365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176954 (or 1176951 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 54.

The spelling of 34506055426365 in words is "thirty-four trillion, five hundred six billion, fifty-five million, four hundred twenty-six thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 35353 106059 176765 318177 530295 671707 1141571 1590885 2015121 3358535 3424713 5707855 6045363 10075605 10274139 17123565 21689849 30226815 51370695 65069547 108449245 195208641 325347735 976043205 40357959563 121073878689 201789797815 363221636067 605369393445 766801231697 1816108180335 2300403695091 3834006158485 6901211085273 11502018475455 34506055426365