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8991523040 = 255174180627
BaseRepresentation
bin10000101111110111…
…11100000011100000
3212012122010200210212
420113323330003200
5121403312214130
64044115313252
7435550453613
oct102773740340
925178120725
108991523040
1138a4531385
1218ab2ab828
13b03aa2a46
1461424a17a
153795a4e95
hex217efc0e0

8991523040 has 96 divisors (see below), whose sum is σ = 23040902304. Its totient is φ = 3302440960.

The previous prime is 8991523039. The next prime is 8991523129. The reversal of 8991523040 is 403251998.

8991523040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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, 71207 + ... + 151833.

It is an arithmetic number, because the mean of its divisors is an integer number (240009399).

Almost surely, 28991523040 is an apocalyptic number.

8991523040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8991523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520451152).

8991523040 is an abundant number, since it is smaller than the sum of its proper divisors (14049379264).

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

8991523040 is a wasteful number, since it uses less digits than its factorization.

8991523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80700 (or 80692 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 8991523040 is about 94823.6417777761. The cubic root of 8991523040 is about 2079.4305517082.

The spelling of 8991523040 in words is "eight billion, nine hundred ninety-one million, five hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 205 272 328 340 410 544 656 680 697 820 1312 1360 1394 1640 2720 2788 3280 3485 5576 6560 6970 11152 13940 22304 27880 55760 80627 111520 161254 322508 403135 645016 806270 1290032 1370659 1612540 2580064 2741318 3225080 3305707 5482636 6450160 6611414 6853295 10965272 12900320 13222828 13706590 16528535 21930544 26445656 27413180 33057070 43861088 52891312 54826360 56197019 66114140 105782624 109652720 112394038 132228280 219305440 224788076 264456560 280985095 449576152 528913120 561970190 899152304 1123940380 1798304608 2247880760 4495761520 8991523040