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108693912240 = 243251797511123
BaseRepresentation
bin110010100111010101…
…0010111101010110000
3101101120001202211210100
41211032222113222300
53240101120142430
6121533331432400
710565352003264
oct1451652275260
9341501684710
10108693912240
1142107975041
1219095455700
13a332a40004
14539195a0a4
152c62603960
hex194ea97ab0

108693912240 has 240 divisors, whose sum is σ = 367885739520. Its totient is φ = 28759104000.

The previous prime is 108693912227. The next prime is 108693912259. The reversal of 108693912240 is 42219396801.

108693912240 is a `hidden beast` number, since 10 + 8 + 6 + 9 + 391 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96788319 + ... + 96789441.

It is an arithmetic number, because the mean of its divisors is an integer number (1532857248).

Almost surely, 2108693912240 is an apocalyptic number.

108693912240 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 108693912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183942869760).

108693912240 is an abundant number, since it is smaller than the sum of its proper divisors (259191827280).

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

108693912240 is a wasteful number, since it uses less digits than its factorization.

108693912240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 108693912240 in words is "one hundred eight billion, six hundred ninety-three million, nine hundred twelve thousand, two hundred forty".