Search a number
-
+
9916812520 = 2353760111149
BaseRepresentation
bin10010011110001011…
…01000110011101000
3221121010020021100121
421033011220303220
5130302201000040
64320011413024
7500514341566
oct111705506350
927533207317
109916812520
11422986702a
121b09154174
13c206b2304
146a10aaa36
153d0929c4a
hex24f168ce8

9916812520 has 64 divisors (see below), whose sum is σ = 22956066000. Its totient is φ = 3852748800.

The previous prime is 9916812511. The next prime is 9916812553. The reversal of 9916812520 is 252186199.

It can be written as a sum of positive squares in 8 ways, for example, as 7277113636 + 2639698884 = 85306^2 + 51378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883906 + ... + 895054.

Almost surely, 29916812520 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 9916812520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478033000).

9916812520 is an abundant number, since it is smaller than the sum of its proper divisors (13039253480).

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

9916812520 is a wasteful number, since it uses less digits than its factorization.

9916812520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11798 (or 11794 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 9916812520 is about 99583.1939636403. The cubic root of 9916812520 is about 2148.4439810391.

The spelling of 9916812520 in words is "nine billion, nine hundred sixteen million, eight hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 601 740 1202 1480 2404 3005 4808 6010 11149 12020 22237 22298 24040 44474 44596 55745 88948 89192 111185 111490 177896 222370 222980 412513 444740 445960 825026 889480 1650052 2062565 3300104 4125130 6700549 8250260 13401098 16500520 26802196 33502745 53604392 67005490 134010980 247920313 268021960 495840626 991681252 1239601565 1983362504 2479203130 4958406260 9916812520