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149596046208 = 27347172937113
BaseRepresentation
bin1000101101010010011…
…1101000001110000000
3112022010121100112110000
42023110213220032000
54422333041434313
6152420134240000
713544062261260
oct2132447501600
9468117315400
10149596046208
1158497082744
1224bab4b6000
131115098534b
147351c7b7a0
153d583d9673
hex22d49e8380

149596046208 has 1280 divisors, whose sum is σ = 577427875200. Its totient is φ = 37456183296.

The previous prime is 149596046167. The next prime is 149596046227. The reversal of 149596046208 is 802640695941.

149596046208 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 9 + 6 + 0 + 4 + 620 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1323858760 + ... + 1323858872.

Almost surely, 2149596046208 is an apocalyptic number.

149596046208 is a gapful number since it is divisible by the number (18) 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 149596046208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288713937600).

149596046208 is an abundant number, since it is smaller than the sum of its proper divisors (427831828992).

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

149596046208 is a wasteful number, since it uses less digits than its factorization.

149596046208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 149596046208 in words is "one hundred forty-nine billion, five hundred ninety-six million, forty-six thousand, two hundred eight".