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34810113416 = 23132388316481
BaseRepresentation
bin100000011010110110…
…000010110110001000
310022211222100222111212
4200122312002312020
51032242342112131
623554101312252
72341425040061
oct403266026610
9108758328455
1034810113416
1113843446481
1268b5a05688
133389a9aa60
1419831db568
15d8b072a2b
hex81ad82d88

34810113416 has 64 divisors (see below), whose sum is σ = 73433243520. Its totient is φ = 15349340160.

The previous prime is 34810113409. The next prime is 34810113419. The reversal of 34810113416 is 61431101843.

It is not an unprimeable number, because it can be changed into a prime (34810113419) 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, 2103896 + ... + 2120376.

It is an arithmetic number, because the mean of its divisors is an integer number (1147394430).

Almost surely, 234810113416 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 34810113416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36716621760).

34810113416 is an abundant number, since it is smaller than the sum of its proper divisors (38623130104).

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

34810113416 is a wasteful number, since it uses less digits than its factorization.

34810113416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17406 (or 17402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 34810113416 in words is "thirty-four billion, eight hundred ten million, one hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 883 1196 1766 2392 3532 7064 11479 16481 20309 22958 32962 40618 45916 65924 81236 91832 131848 162472 214253 264017 379063 428506 528034 758126 857012 1056068 1516252 1714024 2112136 3032504 4927819 9855638 14552723 19711276 29105446 39422552 58210892 116421784 189185399 334712629 378370798 669425258 756741596 1338850516 1513483192 2677701032 4351264177 8702528354 17405056708 34810113416