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149379462312 = 23343883163927
BaseRepresentation
bin1000101100011110110…
…1011011010010101000
3112021120111210221012020
42023013231123102220
54421412120243222
6152342440144440
713535522323323
oct2130755332250
9467514727166
10149379462312
11583958a2a93
1224b4aa68120
1311117b427b2
1473311bd7ba
153d443a665c
hex22c7b5b4a8

149379462312 has 64 divisors (see below), whose sum is σ = 382568609280. Its totient is φ = 48579797952.

The previous prime is 149379462301. The next prime is 149379462317. The reversal of 149379462312 is 213264973941.

149379462312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149379462317) 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 15 ways as a sum of consecutive naturals, for example, 829293 + ... + 993219.

It is an arithmetic number, because the mean of its divisors is an integer number (5977634520).

Almost surely, 2149379462312 is an apocalyptic number.

149379462312 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 149379462312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191284304640).

149379462312 is an abundant number, since it is smaller than the sum of its proper divisors (233189146968).

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

149379462312 is a wasteful number, since it uses less digits than its factorization.

149379462312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164862 (or 164858 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The spelling of 149379462312 in words is "one hundred forty-nine billion, three hundred seventy-nine million, four hundred sixty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 883 1032 1766 2649 3532 5298 7064 10596 21192 37969 75938 113907 151876 163927 227814 303752 327854 455628 491781 655708 911256 983562 1311416 1967124 3934248 7048861 14097722 21146583 28195444 42293166 56390888 84586332 144747541 169172664 289495082 434242623 578990164 868485246 1157980328 1736970492 3473940984 6224144263 12448288526 18672432789 24896577052 37344865578 49793154104 74689731156 149379462312