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108984134448 = 2433736039727
BaseRepresentation
bin110010101111111110…
…1011110101100110000
3101102022021212122211000
41211133331132230300
53241144414300243
6122022220122000
710605504600210
oct1453775365460
9342267778730
10108984134448
1142246780302
1219156696300
13a37abc6427
1453bc306240
152c7cd305d3
hex195ff5eb30

108984134448 has 80 divisors (see below), whose sum is σ = 357514101760. Its totient is φ = 31138323264.

The previous prime is 108984134443. The next prime is 108984134453. The reversal of 108984134448 is 844431489801.

108984134448 is a `hidden beast` number, since 10 + 89 + 84 + 1 + 34 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (108984134443) and next prime (108984134453).

It is a super-2 number, since 2×1089841344482 (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 junction number, because it is equal to n+sod(n) for n = 108984134394 and 108984134403.

It is not an unprimeable number, because it can be changed into a prime (108984134443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18016840 + ... + 18022887.

It is an arithmetic number, because the mean of its divisors is an integer number (4468926272).

Almost surely, 2108984134448 is an apocalyptic number.

108984134448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

108984134448 is an abundant number, since it is smaller than the sum of its proper divisors (248529967312).

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

108984134448 is a wasteful number, since it uses less digits than its factorization.

108984134448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36039751 (or 36039739 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 108984134448 in words is "one hundred eight billion, nine hundred eighty-four million, one hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 36039727 72079454 108119181 144158908 216238362 252278089 288317816 324357543 432476724 504556178 576635632 648715086 756834267 864953448 973072629 1009112356 1297430172 1513668534 1729906896 1946145258 2018224712 2270502801 2594860344 3027337068 3892290516 4036449424 4541005602 5189720688 6054674136 6811508403 7784581032 9082011204 12109348272 13623016806 15569162064 18164022408 27246033612 36328044816 54492067224 108984134448