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9918929740 = 2252967325411
BaseRepresentation
bin10010011110011011…
…01101101101001100
3221121021012211122011
421033031231231030
5130303221222430
64320125031004
7500541340336
oct111715555514
927537184564
109918929740
11422aa827a5
121b099b5464
13c20c73bc5
146a149c456
153d0be722a
hex24f36db4c

9918929740 has 48 divisors (see below), whose sum is σ = 21580886880. Its totient is φ = 3824916480.

The previous prime is 9918929737. The next prime is 9918929749. The reversal of 9918929740 is 479298199.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (9918929749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377635 + ... + 403045.

It is an arithmetic number, because the mean of its divisors is an integer number (449601810).

Almost surely, 29918929740 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 9918929740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10790443440).

9918929740 is an abundant number, since it is smaller than the sum of its proper divisors (11661957140).

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

9918929740 is a wasteful number, since it uses less digits than its factorization.

9918929740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26122 (or 26120 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 58.

The square root of 9918929740 is about 99593.8238044910. The cubic root of 9918929740 is about 2148.5968663498.

The spelling of 9918929740 in words is "nine billion, nine hundred eighteen million, nine hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 673 1346 2692 3365 6730 13460 19517 25411 39034 50822 78068 97585 101644 127055 195170 254110 390340 508220 736919 1473838 2947676 3684595 7369190 14738380 17101603 34203206 68406412 85508015 171016030 342032060 495946487 991892974 1983785948 2479732435 4959464870 9918929740