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106439214818880 = 263558915379967
BaseRepresentation
bin11000001100111001001111…
…100101101110011001000000
3111221212111012220000122200000
4120030321033211232121000
5102422400002443201010
61014213300015400000
731263656653051446
oct3014711745563100
9457774186018600
10106439214818880
1130a0768799a849
12bb30771823000
1347512373017c8
141c3d984d82b96
15c48adcc3b7c0
hex60ce4f96e640

106439214818880 has 336 divisors, whose sum is σ = 383931986780160. Its totient is φ = 28064869797888.

The previous prime is 106439214818879. The next prime is 106439214818887. The reversal of 106439214818880 is 88818412934601.

106439214818880 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 392 + 14 + 81 + 88 + 80 = 666.

106439214818880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064392148188802 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106439214818887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769344 + ... + 14610623.

It is an arithmetic number, because the mean of its divisors is an integer number (1142654722560).

Almost surely, 2106439214818880 is an apocalyptic number.

106439214818880 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 106439214818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191965993390080).

106439214818880 is an abundant number, since it is smaller than the sum of its proper divisors (277492771961280).

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

106439214818880 is an equidigital number, since it uses as much as digits as its factorization.

106439214818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15380088 (or 15380066 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 106439214818880 in words is "one hundred six trillion, four hundred thirty-nine billion, two hundred fourteen million, eight hundred eighteen thousand, eight hundred eighty".