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34012515216 = 24337109175699
BaseRepresentation
bin11111101011010011…
…011100101110010000
310020210101112210110210
4133223103130232100
51024124200441331
623343010124120
72312601415641
oct375323345620
9106711483423
1034012515216
11134741a6109
126712880640
133290779164
1419092d96c8
15d41022446
hex7eb4dcb90

34012515216 has 80 divisors (see below), whose sum is σ = 91068824000. Its totient is φ = 10929821184.

The previous prime is 34012515211. The next prime is 34012515223. The reversal of 34012515216 is 61251521043.

It is not an unprimeable number, because it can be changed into a prime (34012515211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105735 + ... + 281433.

It is an arithmetic number, because the mean of its divisors is an integer number (1138360300).

Almost surely, 234012515216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34012515216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45534412000).

34012515216 is an abundant number, since it is smaller than the sum of its proper divisors (57056308784).

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

34012515216 is a wasteful number, since it uses less digits than its factorization.

34012515216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175856 (or 175850 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 34012515216 in words is "thirty-four billion, twelve million, five hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 109 111 148 218 222 296 327 436 444 592 654 872 888 1308 1744 1776 2616 4033 5232 8066 12099 16132 24198 32264 48396 64528 96792 175699 193584 351398 527097 702796 1054194 1405592 2108388 2811184 4216776 6500863 8433552 13001726 19151191 19502589 26003452 38302382 39005178 52006904 57453573 76604764 78010356 104013808 114907146 153209528 156020712 229814292 306419056 312041424 459628584 708594067 919257168 1417188134 2125782201 2834376268 4251564402 5668752536 8503128804 11337505072 17006257608 34012515216