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109827515480 = 23531181148907
BaseRepresentation
bin110011001001000111…
…0101110010001011000
3101111111001211212002112
41212102032232101120
53244411320443410
6122242024451452
710635425323064
oct1462216562130
9344431755075
10109827515480
1142639850a21
1219351019b88
13a483857a67
14545c324aa4
152ccbdc6105
hex19923ae458

109827515480 has 64 divisors (see below), whose sum is σ = 255229332480. Its totient is φ = 42489532800.

The previous prime is 109827515477. The next prime is 109827515519. The reversal of 109827515480 is 84515728901.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

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, 2221187 + ... + 2270093.

It is an arithmetic number, because the mean of its divisors is an integer number (3987958320).

Almost surely, 2109827515480 is an apocalyptic number.

109827515480 is a gapful number since it is divisible by the number (10) 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 109827515480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127614666240).

109827515480 is an abundant number, since it is smaller than the sum of its proper divisors (145401817000).

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

109827515480 is a wasteful number, since it uses less digits than its factorization.

109827515480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50760 (or 50756 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 50.

The spelling of 109827515480 in words is "one hundred nine billion, eight hundred twenty-seven million, five hundred fifteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1811 3622 7244 9055 14488 18110 36220 48907 56141 72440 97814 112282 195628 224564 244535 280705 391256 449128 489070 561410 978140 1122820 1516117 1956280 2245640 3032234 6064468 7580585 12128936 15161170 30322340 60644680 88570577 177141154 354282308 442852885 708564616 885705770 1771411540 2745687887 3542823080 5491375774 10982751548 13728439435 21965503096 27456878870 54913757740 109827515480