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11758221912 = 2332918193337
BaseRepresentation
bin10101111001101100…
…00011101001011000
31010100110011120011110
422330312003221120
5143040101100122
65222431300320
7564244144233
oct127466035130
933313146143
1011758221912
114a94234178
12234197a6a0
131155040578
147d788241a
1548c41290c
hex2bcd83a58

11758221912 has 64 divisors (see below), whose sum is σ = 30577528800. Its totient is φ = 3763307520.

The previous prime is 11758221857. The next prime is 11758221919. The reversal of 11758221912 is 21912285711.

11758221912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11758221919) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79308 + ... + 172644.

Almost surely, 211758221912 is an apocalyptic number.

11758221912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11758221912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288764400).

11758221912 is an abundant number, since it is smaller than the sum of its proper divisors (18819306888).

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

11758221912 is a wasteful number, since it uses less digits than its factorization.

11758221912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93556 (or 93552 counting only the distinct ones).

The product of its digits is 20160, while the sum is 39.

The spelling of 11758221912 in words is "eleven billion, seven hundred fifty-eight million, two hundred twenty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 181 232 348 362 543 696 724 1086 1448 2172 4344 5249 10498 15747 20996 31494 41992 62988 93337 125976 186674 280011 373348 560022 746696 1120044 2240088 2706773 5413546 8120319 10827092 16240638 16893997 21654184 32481276 33787994 50681991 64962552 67575988 101363982 135151976 202727964 405455928 489925913 979851826 1469777739 1959703652 2939555478 3919407304 5879110956 11758221912