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149136773947392 = 2133711192435077
BaseRepresentation
bin100001111010001110011100…
…011011110010000000000000
3201120001100002012100210110210
4201322032130123302000000
5124021424103112304032
61245104253233554120
743261530200315430
oct4172163433620000
9646040065323423
10149136773947392
11435796069a6430
1214887857a15940
13652a6ca9a14ba
1428b8388d942c0
1512395ca5922cc
hex87a39c6f2000

149136773947392 has 1344 divisors, whose sum is σ = 535543810458624. Its totient is φ = 35837541089280.

The previous prime is 149136773947379. The next prime is 149136773947429. The reversal of 149136773947392 is 293749377631941.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 29374977558 + ... + 29374982634.

Almost surely, 2149136773947392 is an apocalyptic number.

149136773947392 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 149136773947392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267771905229312).

149136773947392 is an abundant number, since it is smaller than the sum of its proper divisors (386407036511232).

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

149136773947392 is a wasteful number, since it uses less digits than its factorization.

149136773947392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5162 counting only the distinct ones).

The product of its digits is 1296243648, while the sum is 75.

The spelling of 149136773947392 in words is "one hundred forty-nine trillion, one hundred thirty-six billion, seven hundred seventy-three million, nine hundred forty-seven thousand, three hundred ninety-two".