Search a number
-
+
109846201270680 = 23335761273149359
BaseRepresentation
bin11000111110011110001111…
…110011101000000110011000
3112101221012020122002211021000
4120332132033303220012120
5103344210010011130210
61025342352003145000
732065061161060650
oct3076361763500630
9471835218084230
10109846201270680
113200056aa29526
12103a0b1a675160
13493a5b5a11094
141d1a827c6d360
15ca75423b8ac0
hex63e78fce8198

109846201270680 has 1536 divisors, whose sum is σ = 435365798400000. Its totient is φ = 24126929879040.

The previous prime is 109846201270657. The next prime is 109846201270681. The reversal of 109846201270680 is 86072102648901.

It is a happy number.

109846201270680 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 4 + 620 + 1 + 2 + 7 + 0 + 6 + 8 + 0 = 666.

109846201270680 is digitally balanced in base 3, 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109846201270681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 305978276341 + ... + 305978276699.

It is an arithmetic number, because the mean of its divisors is an integer number (283441275000).

Almost surely, 2109846201270680 is an apocalyptic number.

109846201270680 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 109846201270680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217682899200000).

109846201270680 is an abundant number, since it is smaller than the sum of its proper divisors (325519597129320).

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

109846201270680 is a wasteful number, since it uses less digits than its factorization.

109846201270680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 109846201270680 in words is "one hundred nine trillion, eight hundred forty-six billion, two hundred one million, two hundred seventy thousand, six hundred eighty".