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149064079824 = 2432112314153127
BaseRepresentation
bin1000101011010011101…
…0010101100111010000
3112020202112100211202100
42022310322111213100
54420240401023244
6152251252320400
713524642526002
oct2126472254720
9466675324670
10149064079824
1158243872500
1224a81313100
13110976ba23a
147301364372
153d26859b69
hex22b4e959d0

149064079824 has 720 divisors, whose sum is σ = 497920131072. Its totient is φ = 41513472000.

The previous prime is 149064079799. The next prime is 149064079867. The reversal of 149064079824 is 428970460941.

149064079824 is a `hidden beast` number, since 1 + 490 + 6 + 4 + 0 + 79 + 82 + 4 = 666.

149064079824 is digitally balanced in base 3, 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1173732849 + ... + 1173732975.

Almost surely, 2149064079824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149064079824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248960065536).

149064079824 is an abundant number, since it is smaller than the sum of its proper divisors (348856051248).

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

149064079824 is a wasteful number, since it uses less digits than its factorization.

149064079824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 149064079824 in words is "one hundred forty-nine billion, sixty-four million, seventy-nine thousand, eight hundred twenty-four".