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149729216496 = 24324112943397
BaseRepresentation
bin1000101101110010001…
…1101000011111110000
3112022110212221021201220
42023130203220133300
54423121134411441
6152441252425040
713550300224656
oct2133443503760
9468425837656
10149729216496
115855526a532
1225028018180
1311172440b32
147365824dd6
153d64e42466
hex22dc8e87f0

149729216496 has 40 divisors (see below), whose sum is σ = 388405487184. Its totient is φ = 49702640640.

The previous prime is 149729216453. The next prime is 149729216509. The reversal of 149729216496 is 694612927941.

149729216496 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 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 7 ways as a sum of consecutive naturals, for example, 6460131 + ... + 6483266.

Almost surely, 2149729216496 is an apocalyptic number.

149729216496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149729216496 is an abundant number, since it is smaller than the sum of its proper divisors (238676270688).

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

149729216496 is a wasteful number, since it uses less digits than its factorization.

149729216496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12943649 (or 12943643 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 60.

The spelling of 149729216496 in words is "one hundred forty-nine billion, seven hundred twenty-nine million, two hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 241 482 723 964 1446 1928 2892 3856 5784 11568 12943397 25886794 38830191 51773588 77660382 103547176 155320764 207094352 310641528 621283056 3119358677 6238717354 9358076031 12477434708 18716152062 24954869416 37432304124 49909738832 74864608248 149729216496