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9988562412 = 22335921632
BaseRepresentation
bin10010100110101110…
…10101110111101100
3221210010020112201000
421103113111313230
5130424032444122
64331053320300
7502345244133
oct112327256754
927703215630
109988562412
114266312864
121b29196090
13c3251447a
146aa82691a
153d6d9e0ac
hex2535d5dec

9988562412 has 108 divisors (see below), whose sum is σ = 26505234840. Its totient is φ = 3253007952.

The previous prime is 9988562411. The next prime is 9988562443. The reversal of 9988562412 is 2142658899.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9988562412 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 5 + 624 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9988562411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61279443 + ... + 61279605.

Almost surely, 29988562412 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 9988562412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13252617420).

9988562412 is an abundant number, since it is smaller than the sum of its proper divisors (16516672428).

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

9988562412 is a wasteful number, since it uses less digits than its factorization.

9988562412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 227 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 9988562412 is about 99942.7956983394. The cubic root of 9988562412 is about 2153.6129921322.

The spelling of 9988562412 in words is "nine billion, nine hundred eighty-eight million, five hundred sixty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 163 177 236 326 354 489 531 652 708 978 1062 1467 1593 1956 2124 2934 3186 3481 4401 5868 6372 6962 8802 9617 10443 13924 17604 19234 20886 26569 28851 31329 38468 41772 53138 57702 62658 79707 86553 93987 106276 115404 125316 159414 173106 187974 239121 259659 318828 346212 375948 478242 519318 567403 717363 956484 1038636 1134806 1434726 1567571 1702209 2269612 2869452 3135142 3404418 4702713 5106627 6270284 6808836 9405426 10213254 14108139 15319881 18810852 20426508 28216278 30639762 42324417 56432556 61279524 84648834 92486689 169297668 184973378 277460067 369946756 554920134 832380201 1109840268 1664760402 2497140603 3329520804 4994281206 9988562412