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9901622088 = 233613032
BaseRepresentation
bin10010011100010111…
…01100001101001000
3221120001122112000000
421032023230031020
5130234303401323
64314310043000
7500241253611
oct111613541510
927501575000
109901622088
114221231256
121b04049460
13c1a4c40a7
1469d074c08
153ce428e43
hex24e2ec348

9901622088 has 84 divisors (see below), whose sum is σ = 27856957635. Its totient is φ = 3298007664.

The previous prime is 9901622063. The next prime is 9901622089. The reversal of 9901622088 is 8802261099.

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.

It can be written as a sum of positive squares in only one way, i.e., 4950811044 + 4950811044 = 70362^2 + 70362^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=70362.

It is not an unprimeable number, because it can be changed into a prime (9901622089) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7598445 + ... + 7599747.

Almost surely, 29901622088 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 9901622088

9901622088 is an abundant number, since it is smaller than the sum of its proper divisors (17955335547).

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

9901622088 is an frugal number, since it uses more digits than its factorization.

9901622088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9901622088 is about 99506.8946756957. The cubic root of 9901622088 is about 2147.3464351623.

It can be divided in two parts, 99016 and 22088, that added together give a square (121104 = 3482).

The spelling of 9901622088 in words is "nine billion, nine hundred one million, six hundred twenty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1303 1458 1944 2606 2916 3909 5212 5832 7818 10424 11727 15636 23454 31272 35181 46908 70362 93816 105543 140724 211086 281448 316629 422172 633258 844344 949887 1266516 1697809 1899774 2533032 3395618 3799548 5093427 6791236 7599096 10186854 13582472 15280281 20373708 30560562 40747416 45840843 61121124 91681686 122242248 137522529 183363372 275045058 366726744 412567587 550090116 825135174 1100180232 1237702761 1650270348 2475405522 3300540696 4950811044 9901622088