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149012221012182 = 232111315744938739
BaseRepresentation
bin100001111000011010011100…
…100000000010100011010110
3201112121102120220001010000100
4201320122130200002203112
5124012404012034342212
61244531134100154530
743246530514661433
oct4170323440024326
9645542526033010
10149012221012182
1143530801025740
1214867697398a46
13651ba3b468238
1428b23310c2b8a
15123623aa43bdc
hex87869c8028d6

149012221012182 has 48 divisors (see below), whose sum is σ = 354899335602240. Its totient is φ = 44810522156400.

The previous prime is 149012221012181. The next prime is 149012221012231. The reversal of 149012221012182 is 281210122210941.

149012221012182 is a `hidden beast` number, since 1 + 490 + 1 + 22 + 21 + 0 + 121 + 8 + 2 = 666.

It is a super-2 number, since 2×1490122210121822 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149012221012181) 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 23 ways as a sum of consecutive naturals, for example, 2872443432 + ... + 2872495307.

It is an arithmetic number, because the mean of its divisors is an integer number (7393736158380).

Almost surely, 2149012221012182 is an apocalyptic number.

149012221012182 is an abundant number, since it is smaller than the sum of its proper divisors (205887114590058).

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

149012221012182 is a wasteful number, since it uses less digits than its factorization.

149012221012182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744938889 (or 5744938886 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 149012221012182 in words is "one hundred forty-nine trillion, twelve billion, two hundred twenty-one million, twelve thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 1179 1441 2358 2882 4323 8646 12969 25938 5744938739 11489877478 17234816217 34469632434 51704448651 63194326129 103408897302 126388652258 189582978387 379165956774 568748935161 752586974809 1137497870322 1505173949618 2257760924427 4515521848854 6773282773281 8278456722899 13546565546562 16556913445798 24835370168697 49670740337394 74506110506091 149012221012182