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149067325680 = 243572131923773
BaseRepresentation
bin1000101011010100011…
…0101110000011110000
3112020202202110202020020
42022311012232003300
54420242213410210
6152251450043440
713525012235100
oct2126506560360
9466682422206
10149067325680
115824568a129
1224a82419580
1311098285770
14730196b200
153d26c9b770
hex22b51ae0f0

149067325680 has 1440 divisors, whose sum is σ = 636086412864. Its totient is φ = 28593782784.

The previous prime is 149067325657. The next prime is 149067325709. The reversal of 149067325680 is 86523760941.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2042018124 + ... + 2042018196.

It is a 1-persistent number, because it is pandigital, but 2⋅149067325680 = 298134651360 is not.

Almost surely, 2149067325680 is an apocalyptic number.

149067325680 is a gapful number since it is divisible by the number (10) 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 149067325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318043206432).

149067325680 is an abundant number, since it is smaller than the sum of its proper divisors (487019087184).

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

149067325680 is a wasteful number, since it uses less digits than its factorization.

149067325680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 149067325680 in words is "one hundred forty-nine billion, sixty-seven million, three hundred twenty-five thousand, six hundred eighty".