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3203135007016 = 23721512358373
BaseRepresentation
bin101110100111001001101…
…110010110100100101000
3102100012211222121211002111
4232213021232112210220
5404440010030211031
610451255551412104
7450263446220200
oct56471156264450
912305758554074
103203135007016
11102549522a06a
12438957524034
131a30924b30c9
14b10654c5400
15584c30291b1
hex2e9c9b96928

3203135007016 has 72 divisors (see below), whose sum is σ = 7033023450810. Its totient is φ = 1363677134400.

The previous prime is 3203135007001. The next prime is 3203135007043. The reversal of 3203135007016 is 6107005313023.

3203135007016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2036186302500 + 1166948704516 = 1426950^2 + 1080254^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8758806 + ... + 9117178.

Almost surely, 23203135007016 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 3203135007016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516511725405).

3203135007016 is an abundant number, since it is smaller than the sum of its proper divisors (3829888443794).

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

3203135007016 is a wasteful number, since it uses less digits than its factorization.

3203135007016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358695 (or 358533 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The spelling of 3203135007016 in words is "three trillion, two hundred three billion, one hundred thirty-five million, seven thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 151 196 302 392 604 1057 1208 2114 4228 7399 8456 14798 22801 29596 45602 59192 91204 159607 182408 319214 358373 638428 716746 1117249 1276856 1433492 2234498 2508611 2866984 4468996 5017222 8937992 10034444 17560277 20068888 35120554 54114323 70241108 108228646 140482216 216457292 378800261 432914584 757600522 1515201044 2651601827 3030402088 5303203654 8171262773 10606407308 16342525546 21212814616 32685051092 57198839411 65370102184 114397678822 228795357644 400391875877 457590715288 800783751754 1601567503508 3203135007016