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34505036136 = 23321728190389
BaseRepresentation
bin100000001000101010…
…010001000101101000
310022001201022110011100
4200020222101011220
51031131242124021
623503522401400
72331031652664
oct401052210550
9108051273140
1034505036136
11136a721439a
12682b800260
13333b812c5c
1419548a58a4
15d6e3ae626
hex808a91168

34505036136 has 48 divisors (see below), whose sum is σ = 98948268900. Its totient is φ = 10825108992.

The previous prime is 34505036087. The next prime is 34505036171. The reversal of 34505036136 is 63163050543.

34505036136 is a `hidden beast` number, since 34 + 5 + 0 + 5 + 0 + 3 + 613 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33984922500 + 520113636 = 184350^2 + 22806^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34505036136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14093971 + ... + 14096418.

Almost surely, 234505036136 is an apocalyptic number.

34505036136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34505036136 is an abundant number, since it is smaller than the sum of its proper divisors (64443232764).

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

34505036136 is a wasteful number, since it uses less digits than its factorization.

34505036136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28190418 (or 28190411 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 34505036136 its reverse (63163050543), we get a palindrome (97668086679).

The spelling of 34505036136 in words is "thirty-four billion, five hundred five million, thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 28190389 56380778 84571167 112761556 169142334 225523112 253713501 338284668 479236613 507427002 676569336 958473226 1014854004 1437709839 1916946452 2029708008 2875419678 3833892904 4313129517 5750839356 8626259034 11501678712 17252518068 34505036136