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149274700800 = 21035219102299
BaseRepresentation
bin1000101100000101110…
…1110010110000000000
3112021022012200111102020
42023001131302300000
54421203310411200
6152324214521440
713533111010221
oct2130135626000
9467265614366
10149274700800
115834174a125
1224b1b966280
13110cc222934
14732130d248
153d3a0b0ea0
hex22c1772c00

149274700800 has 264 divisors, whose sum is σ = 519332088000. Its totient is φ = 37711134720.

The previous prime is 149274700787. The next prime is 149274700831. The reversal of 149274700800 is 8007472941.

It is a happy number.

149274700800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1408051 + ... + 1510349.

It is an arithmetic number, because the mean of its divisors is an integer number (1967167000).

Almost surely, 2149274700800 is an apocalyptic number.

149274700800 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 149274700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259666044000).

149274700800 is an abundant number, since it is smaller than the sum of its proper divisors (370057387200).

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

149274700800 is a wasteful number, since it uses less digits than its factorization.

149274700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102351 (or 102328 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 149274700800 in words is "one hundred forty-nine billion, two hundred seventy-four million, seven hundred thousand, eight hundred".