Search a number
-
+
122426269752 = 23312740166099
BaseRepresentation
bin111001000000100101…
…1001010000000111000
3102201000002121212220010
41302001023022000320
54001212111113002
6132124123501520
711562560060103
oct1620113120070
9381002555803
10122426269752
1147a1448a536
121b8883878a0
13b710a70147
145cd568373a
1532b7eba46c
hex1c812ca038

122426269752 has 32 divisors (see below), whose sum is σ = 308475648000. Its totient is φ = 40487426784.

The previous prime is 122426269741. The next prime is 122426269753. The reversal of 122426269752 is 257962624221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122426269753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20080002 + ... + 20086097.

It is an arithmetic number, because the mean of its divisors is an integer number (9639864000).

Almost surely, 2122426269752 is an apocalyptic number.

122426269752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122426269752 is an abundant number, since it is smaller than the sum of its proper divisors (186049378248).

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

122426269752 is a wasteful number, since it uses less digits than its factorization.

122426269752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40166235 (or 40166231 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 122426269752 in words is "one hundred twenty-two billion, four hundred twenty-six million, two hundred sixty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 40166099 80332198 120498297 160664396 240996594 321328792 481993188 963986376 5101094573 10202189146 15303283719 20404378292 30606567438 40808756584 61213134876 122426269752