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109378364176 = 248929292
BaseRepresentation
bin110010111011101110…
…1010110001100010000
3101110022202200121100001
41211313131112030100
53243001330123201
6122125301535344
710621332520054
oct1456735261420
9343282617301
10109378364176
11424292649a4
1219246714554
13a411797463
145418807c64
152ca2754301
hex1977756310

109378364176 has 45 divisors (see below), whose sum is σ = 214559422111. Its totient is φ = 54016489472.

The previous prime is 109378364153. The next prime is 109378364177. The reversal of 109378364176 is 671463873901.

The square root of 109378364176 is 330724.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 75227324176 + 34151040000 = 274276^2 + 184800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109378364177) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 117737280 + ... + 117738208.

Almost surely, 2109378364176 is an apocalyptic number.

109378364176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109378364176 is the 330724-th square number.

It is an amenable number.

109378364176 is a deficient number, since it is larger than the sum of its proper divisors (105181057935).

109378364176 is an frugal number, since it uses more digits than its factorization.

109378364176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 109378364176 in words is "one hundred nine billion, three hundred seventy-eight million, three hundred sixty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 89 178 356 712 929 1424 1858 3716 7432 7921 14864 15842 31684 63368 82681 126736 165362 330724 661448 863041 1322896 1726082 3452164 6904328 7358609 13808656 14717218 29434436 58868872 76810649 117737744 153621298 307242596 614485192 1228970384 6836147761 13672295522 27344591044 54689182088 109378364176