Search a number
-
+
9913811920 = 245177769737
BaseRepresentation
bin10010011101110100…
…01100001111010000
3221120220120211022021
421032322030033100
5130300413440140
64315423221224
7500450003515
oct111672141720
927526524267
109913811920
1142280a76a1
121b08147814
13c1cba15cc
146a092930c
153d0535b4a
hex24ee8c3d0

9913811920 has 40 divisors (see below), whose sum is σ = 23062914504. Its totient is φ = 3963236352.

The previous prime is 9913811899. The next prime is 9913812017. The reversal of 9913811920 is 291183199.

It can be written as a sum of positive squares in 4 ways, for example, as 1013021584 + 8900790336 = 31828^2 + 94344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107292 + ... + 177028.

Almost surely, 29913811920 is an apocalyptic number.

It is an amenable number.

9913811920 is an abundant number, since it is smaller than the sum of its proper divisors (13149102584).

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

9913811920 is a wasteful number, since it uses less digits than its factorization.

9913811920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71527 (or 71521 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The square root of 9913811920 is about 99568.1270286832. The cubic root of 9913811920 is about 2148.2272692242.

The spelling of 9913811920 in words is "nine billion, nine hundred thirteen million, eight hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1777 3554 7108 8885 14216 17770 28432 35540 69737 71080 139474 142160 278948 348685 557896 697370 1115792 1394740 2789480 5578960 123922649 247845298 495690596 619613245 991381192 1239226490 1982762384 2478452980 4956905960 9913811920