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109494809424 = 24337111323101109
BaseRepresentation
bin110010111111001100…
…1100011001101010000
3101110121212210122012000
41211332121203031100
53243221132400144
6122145021434000
710624245344430
oct1457631431520
9343555718160
10109494809424
1142488a68a40
121927970b900
13a42c948380
14542a07a2c0
152cacaa6769
hex197e663350

109494809424 has 1280 divisors, whose sum is σ = 448771276800. Its totient is φ = 24634368000.

The previous prime is 109494809381. The next prime is 109494809443. The reversal of 109494809424 is 424908494901.

It is a happy number.

109494809424 is a `hidden beast` number, since 10 + 9 + 49 + 480 + 94 + 24 = 666.

It is a super-2 number, since 2×1094948094242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1004539482 + ... + 1004539590.

It is an arithmetic number, because the mean of its divisors is an integer number (350602560).

Almost surely, 2109494809424 is an apocalyptic number.

109494809424 is a gapful number since it is divisible by the number (14) 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 109494809424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224385638400).

109494809424 is an abundant number, since it is smaller than the sum of its proper divisors (339276467376).

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

109494809424 is a wasteful number, since it uses less digits than its factorization.

109494809424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 109494809424 in words is "one hundred nine billion, four hundred ninety-four million, eight hundred nine thousand, four hundred twenty-four".