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120924234688 = 2610342832
BaseRepresentation
bin111000010011110100…
…1010110001111000000
3102120010102021121010211
41300213221112033000
53440123101002223
6131315110003504
711510421015115
oct1604751261700
9376112247124
10120924234688
114731363a344
121b529346594
13b5318177ba
145bd1db090c
15322b1bcd0d
hex1c27a563c0

120924234688 has 42 divisors (see below), whose sum is σ = 242345310584. Its totient is φ = 59861126784.

The previous prime is 120924234661. The next prime is 120924234719. The reversal of 120924234688 is 886432429021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28231395 + ... + 28235677.

Almost surely, 2120924234688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120924234688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121172655292).

120924234688 is an abundant number, since it is smaller than the sum of its proper divisors (121421075896).

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

120924234688 is an frugal number, since it uses more digits than its factorization.

120924234688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8681 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 120924234688 in words is "one hundred twenty billion, nine hundred twenty-four million, two hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1648 3296 4283 6592 8566 17132 34264 68528 137056 274112 441149 882298 1764596 3529192 7058384 14116768 18344089 28233536 36688178 73376356 146752712 293505424 587010848 1174021696 1889441167 3778882334 7557764668 15115529336 30231058672 60462117344 120924234688