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123957138192 = 2434360056753
BaseRepresentation
bin111001101110001101…
…0111101001100010000
3102211221210020001121020
41303130122331030100
54012331011410232
6132540051355440
711645526201306
oct1633432751420
9384853201536
10123957138192
114862a633668
1220034bb2b80
13b8c5c7c764
145ddcb00276
1533575b0e2c
hex1cdc6bd310

123957138192 has 40 divisors (see below), whose sum is σ = 327669649824. Its totient is φ = 40358137344.

The previous prime is 123957138169. The next prime is 123957138211. The reversal of 123957138192 is 291831759321.

It is a happy number.

123957138192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 30026313 + ... + 30030440.

Almost surely, 2123957138192 is an apocalyptic number.

123957138192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123957138192 is an abundant number, since it is smaller than the sum of its proper divisors (203712511632).

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

123957138192 is a wasteful number, since it uses less digits than its factorization.

123957138192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60056807 (or 60056801 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The spelling of 123957138192 in words is "one hundred twenty-three billion, nine hundred fifty-seven million, one hundred thirty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 60056753 120113506 180170259 240227012 360340518 480454024 720681036 960908048 1441362072 2582440379 2882724144 5164880758 7747321137 10329761516 15494642274 20659523032 30989284548 41319046064 61978569096 123957138192