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149893343424 = 2634112324969
BaseRepresentation
bin1000101110011001010…
…1101110100011000000
3112022220022202210120000
42023212111232203000
54423440143442144
6152505434320000
713554332253066
oct2134625564300
9468808683500
10149893343424
1158629980520
1225072b89000
131119a447b66
14737d54a036
153d74562769
hex22e656e8c0

149893343424 has 420 divisors, whose sum is σ = 506817797640. Its totient is φ = 43438602240.

The previous prime is 149893343393. The next prime is 149893343491. The reversal of 149893343424 is 424343398941.

149893343424 is a `hidden beast` number, since 1 + 4 + 98 + 93 + 3 + 43 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 59 ways as a sum of consecutive naturals, for example, 30163212 + ... + 30168180.

It is an arithmetic number, because the mean of its divisors is an integer number (1206709042).

Almost surely, 2149893343424 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 149893343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253408898820).

149893343424 is an abundant number, since it is smaller than the sum of its proper divisors (356924454216).

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

149893343424 is a wasteful number, since it uses less digits than its factorization.

149893343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5008 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 149893343424 in words is "one hundred forty-nine billion, eight hundred ninety-three million, three hundred forty-three thousand, four hundred twenty-four".