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18132701187920 = 24511131157292689
BaseRepresentation
bin1000001111101110110010…
…01101101000111101010000
32101012110200010022110112112
410013313121031220331100
54334041233001003140
6102322014204044452
73551021145012404
oct407673115507520
971173603273475
1018132701187920
1158610431138a0
12204a2a4b33728
13a16ba2435547
144698ad8d9104
15216a16e38c65
hex107dd9368f50

18132701187920 has 80 divisors (see below), whose sum is σ = 46342201498560. Its totient is φ = 6543375820800.

The previous prime is 18132701187917. The next prime is 18132701187929. The reversal of 18132701187920 is 2978110723181.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18132701187929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78531065 + ... + 78761624.

It is an arithmetic number, because the mean of its divisors is an integer number (579277518732).

Almost surely, 218132701187920 is an apocalyptic number.

18132701187920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18132701187920 is an abundant number, since it is smaller than the sum of its proper divisors (28209500310640).

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

18132701187920 is a wasteful number, since it uses less digits than its factorization.

18132701187920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157292844 (or 157292838 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 50.

The spelling of 18132701187920 in words is "eighteen trillion, one hundred thirty-two billion, seven hundred one million, one hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 131 176 220 262 440 524 655 880 1048 1310 1441 2096 2620 2882 5240 5764 7205 10480 11528 14410 23056 28820 57640 115280 157292689 314585378 629170756 786463445 1258341512 1572926890 1730219579 2516683024 3145853780 3460439158 6291707560 6920878316 8651097895 12583415120 13841756632 17302195790 20605342259 27683513264 34604391580 41210684518 69208783160 82421369036 103026711295 138417566320 164842738072 206053422590 226658764849 329685476144 412106845180 453317529698 824213690360 906635059396 1133293824245 1648427380720 1813270118792 2266587648490 3626540237584 4533175296980 9066350593960 18132701187920