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34425724095 = 3257543120123
BaseRepresentation
bin100000000011111011…
…101101110010111111
310021212012001222111100
4200003323231302333
51031000441132340
623452010424143
72326046553360
oct400373556277
9107765058440
1034425724095
1113666473054
126809132053
133328263a59
14194813bb67
15d67444830
hex803eedcbf

34425724095 has 48 divisors (see below), whose sum is σ = 68211666432. Its totient is φ = 15733794240.

The previous prime is 34425724031. The next prime is 34425724103. The reversal of 34425724095 is 59042752443.

34425724095 is a `hidden beast` number, since 34 + 4 + 2 + 572 + 40 + 9 + 5 = 666.

It is not a de Polignac number, because 34425724095 - 26 = 34425724031 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 34425724095.

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, 1700704 + ... + 1720826.

It is an arithmetic number, because the mean of its divisors is an integer number (1421076384).

Almost surely, 234425724095 is an apocalyptic number.

34425724095 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34425724095 is a deficient number, since it is larger than the sum of its proper divisors (33785942337).

34425724095 is a wasteful number, since it uses less digits than its factorization.

34425724095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25572 (or 25569 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 34425724095 in words is "thirty-four billion, four hundred twenty-five million, seven hundred twenty-four thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 5431 16293 20123 27155 38017 48879 60369 81465 100615 114051 140861 181107 190085 244395 301845 342153 422583 570255 704305 905535 1267749 1710765 2112915 6338745 109288013 327864039 546440065 765016091 983592117 1639320195 2295048273 3825080455 4917960585 6885144819 11475241365 34425724095