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9926144116 = 2274126932143
BaseRepresentation
bin10010011111010010…
…01111000001110100
3221121202210100220021
421033221033001310
5130312043102431
64320543414524
7500656555450
oct111751170164
927552710807
109926144116
11423405aa99
121b102b4444
13c225cb875
146a2419660
153d166eb11
hex24fa4f074

9926144116 has 48 divisors (see below), whose sum is σ = 20412725760. Its totient is φ = 4134746880.

The previous prime is 9926144113. The next prime is 9926144147. The reversal of 9926144116 is 6114416299.

9926144116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9926144113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292741 + ... + 324883.

It is an arithmetic number, because the mean of its divisors is an integer number (425265120).

Almost surely, 29926144116 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 9926144116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206362880).

9926144116 is an abundant number, since it is smaller than the sum of its proper divisors (10486581644).

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

9926144116 is a wasteful number, since it uses less digits than its factorization.

9926144116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32464 (or 32462 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 9926144116 is about 99630.0362139852. The cubic root of 9926144116 is about 2149.1176560420.

It can be divided in two parts, 99261 and 44116, that multiplied together give a square (4378998276 = 661742).

The spelling of 9926144116 in words is "nine billion, nine hundred twenty-six million, one hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 41 82 164 269 287 538 574 1076 1148 1883 3766 7532 11029 22058 32143 44116 64286 77203 128572 154406 225001 308812 450002 900004 1317863 2635726 5271452 8646467 9225041 17292934 18450082 34585868 36900164 60525269 121050538 242101076 354505147 709010294 1418020588 2481536029 4963072058 9926144116