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9989826144 = 2531744913633
BaseRepresentation
bin10010100110111000…
…01010011001100000
3221210012121202012220
421103130022121200
5130424343414034
64331140351040
7502362056364
oct112334123140
927705552186
109989826144
114266aa6271
121b296a5480
13c3286773c
146aaa752a4
153d704d749
hex25370a660

9989826144 has 96 divisors (see below), whose sum is σ = 27829720800. Its totient is φ = 3126853632.

The previous prime is 9989826131. The next prime is 9989826169. The reversal of 9989826144 is 4416289899.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 725952 + ... + 739584.

It is an arithmetic number, because the mean of its divisors is an integer number (289892925).

Almost surely, 29989826144 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 9989826144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13914860400).

9989826144 is an abundant number, since it is smaller than the sum of its proper divisors (17839894656).

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

9989826144 is a wasteful number, since it uses less digits than its factorization.

9989826144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14112 (or 14104 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 60.

The square root of 9989826144 is about 99949.1177749959. The cubic root of 9989826144 is about 2153.7038118376.

The spelling of 9989826144 in words is "nine billion, nine hundred eighty-nine million, eight hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 449 544 816 898 1347 1632 1796 2694 3592 5388 7184 7633 10776 13633 14368 15266 21552 22899 27266 30532 40899 43104 45798 54532 61064 81798 91596 109064 122128 163596 183192 218128 231761 244256 327192 366384 436256 463522 654384 695283 732768 927044 1308768 1390566 1854088 2781132 3708176 5562264 6121217 7416352 11124528 12242434 18363651 22249056 24484868 36727302 48969736 73454604 97939472 104060689 146909208 195878944 208121378 293818416 312182067 416242756 587636832 624364134 832485512 1248728268 1664971024 2497456536 3329942048 4994913072 9989826144