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149833430880 = 253573312947
BaseRepresentation
bin1000101110001011000…
…1001011011101100000
3112022202011000220222220
42023202301023131200
54423324324242010
6152455454231040
713553004102000
oct2134261133540
9468664026886
10149833430880
11585a907a321
1225056ab5480
131118abcb953
1473755d2000
153d6e17a970
hex22e2c4b760

149833430880 has 576 divisors, whose sum is σ = 569336947200. Its totient is φ = 33107880960.

The previous prime is 149833430833. The next prime is 149833430881. The reversal of 149833430880 is 88034338941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149833430881) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 158218567 + ... + 158219513.

It is an arithmetic number, because the mean of its divisors is an integer number (988432200).

Almost surely, 2149833430880 is an apocalyptic number.

149833430880 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 149833430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284668473600).

149833430880 is an abundant number, since it is smaller than the sum of its proper divisors (419503516320).

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

149833430880 is an equidigital number, since it uses as much as digits as its factorization.

149833430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 149833430880 in words is "one hundred forty-nine billion, eight hundred thirty-three million, four hundred thirty thousand, eight hundred eighty".