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149243310216 = 23337111317192137
BaseRepresentation
bin1000101011111110011…
…0000011000010001000
3112021020000121200122000
42022333212003002020
54421122241411331
6152321134031000
713532250130410
oct2127746030210
9467200550560
10149243310216
1158325a599a0
1224b11348460
13110c5881a20
14731b09b640
153d374600e6
hex22bf983088

149243310216 has 1024 divisors, whose sum is σ = 620669952000. Its totient is φ = 31890309120.

The previous prime is 149243310191. The next prime is 149243310239. The reversal of 149243310216 is 612013342941.

149243310216 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 433 + 1 + 0 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69836700 + ... + 69838836.

It is an arithmetic number, because the mean of its divisors is an integer number (606123000).

Almost surely, 2149243310216 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 149243310216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310334976000).

149243310216 is an abundant number, since it is smaller than the sum of its proper divisors (471426641784).

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

149243310216 is a wasteful number, since it uses less digits than its factorization.

149243310216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 149243310216 in words is "one hundred forty-nine billion, two hundred forty-three million, three hundred ten thousand, two hundred sixteen".