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149230937856 = 28372112132521
BaseRepresentation
bin1000101011111011011…
…0110110011100000000
3112021012011100002221110
42022332312312130000
54421111110002411
6152320012523320
713532040020400
oct2127666663400
9467164302843
10149230937856
1158319a79400
1224b09180540
13110c313c3c0
14731959a800
153d363192a6
hex22bedb6700

149230937856 has 648 divisors, whose sum is σ = 547117373712. Its totient is φ = 35765452800.

The previous prime is 149230937813. The next prime is 149230937909. The reversal of 149230937856 is 658739032941.

149230937856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149230937796 and 149230937805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59193876 + ... + 59196396.

It is a 1-persistent number, because it is pandigital, but 2⋅149230937856 = 298461875712 is not.

Almost surely, 2149230937856 is an apocalyptic number.

149230937856 is a gapful number since it is divisible by the number (16) 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 149230937856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273558686856).

149230937856 is an abundant number, since it is smaller than the sum of its proper divisors (397886435856).

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

149230937856 is a wasteful number, since it uses less digits than its factorization.

149230937856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 149230937856 in words is "one hundred forty-nine billion, two hundred thirty million, nine hundred thirty-seven thousand, eight hundred fifty-six".