Search a number
-
+
9988929584 = 2419436112527
BaseRepresentation
bin10010100110110001…
…01111100000110000
3221210010221012100222
421103120233200300
5130424131221314
64331105232212
7502351333454
oct112330574060
927703835328
109988929584
114266543707
121b29332668
13c3261262a
146aa8c0664
153d6e22c8e
hex25362f830

9988929584 has 80 divisors (see below), whose sum is σ = 21189358080. Its totient is φ = 4545434880.

The previous prime is 9988929529. The next prime is 9988929607. The reversal of 9988929584 is 4859298899.

It is a super-2 number, since 2×99889295842 (a number of 21 digits) contains 22 as substring.

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, 791129 + ... + 803655.

It is an arithmetic number, because the mean of its divisors is an integer number (264866976).

Almost surely, 29988929584 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 9988929584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594679040).

9988929584 is an abundant number, since it is smaller than the sum of its proper divisors (11200428496).

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

9988929584 is a wasteful number, since it uses less digits than its factorization.

9988929584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12658 (or 12652 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 71.

The square root of 9988929584 is about 99944.6325922508. The cubic root of 9988929584 is about 2153.6393802038.

The spelling of 9988929584 in words is "nine billion, nine hundred eighty-eight million, nine hundred twenty-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 43 61 76 86 122 152 172 244 304 344 488 688 817 976 1159 1634 2318 2623 3268 4636 5246 6536 9272 10492 12527 13072 18544 20984 25054 41968 49837 50108 99674 100216 199348 200432 238013 398696 476026 538661 764147 797392 952052 1077322 1528294 1904104 2154644 3056588 3808208 4309288 6113176 8618576 10234559 12226352 14518793 20469118 29037586 32858321 40938236 58075172 65716642 81876472 116150344 131433284 163752944 232300688 262866568 525733136 624308099 1248616198 2497232396 4994464792 9988929584