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108801840640 = 295103341143
BaseRepresentation
bin110010101010100011…
…0000101011000000000
3101101211120212011201111
41211111012011120000
53240311232400030
6121552145013104
710601132246323
oct1452506053000
9341746764644
10108801840640
1142162891269
1219105624194
13a34c1cb47c
1453a20127ba
152c6bd2262a
hex1955185600

108801840640 has 80 divisors (see below), whose sum is σ = 261128295648. Its totient is φ = 43477549056.

The previous prime is 108801840571. The next prime is 108801840677. The reversal of 108801840640 is 46048108801.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 108801840593 and 108801840602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2623909 + ... + 2665051.

Almost surely, 2108801840640 is an apocalyptic number.

108801840640 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 108801840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130564147824).

108801840640 is an abundant number, since it is smaller than the sum of its proper divisors (152326455008).

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

108801840640 is an equidigital number, since it uses as much as digits as its factorization.

108801840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42199 (or 42183 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 108801840640 in words is "one hundred eight billion, eight hundred one million, eight hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1033 1280 2066 2560 4132 5165 8264 10330 16528 20660 33056 41143 41320 66112 82286 82640 132224 164572 165280 205715 264448 329144 330560 411430 528896 658288 661120 822860 1316576 1322240 1645720 2633152 2644480 3291440 5266304 6582880 10532608 13165760 21065216 26331520 42500719 52663040 85001438 105326080 170002876 212503595 340005752 425007190 680011504 850014380 1360023008 1700028760 2720046016 3400057520 5440092032 6800115040 10880184064 13600230080 21760368128 27200460160 54400920320 108801840640