Base | Representation |
---|---|
bin | 1000110001001001011… |
… | …1111001001001100000 |
3 | 112101210210212221220200 |
4 | 2030102113321021200 |
5 | 4431443304434030 |
6 | 153111024505200 |
7 | 13611542540406 |
oct | 2142227711140 |
9 | 471723787820 |
10 | 150632108640 |
11 | 58978997792 |
12 | 2523a47b200 |
13 | 1128750aa40 |
14 | 740d6d5476 |
15 | 3db9340d60 |
hex | 23125f9260 |
150632108640 has 288 divisors, whose sum is σ = 556677969120. Its totient is φ = 36870709248.
The previous prime is 150632108603. The next prime is 150632108677. The reversal of 150632108640 is 46801236051.
It is a happy number.
150632108640 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 3 + 2 + 1 + 0 + 8 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (150632108603) and next prime (150632108677).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 150632108595 and 150632108604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3328404 + ... + 3373356.
It is an arithmetic number, because the mean of its divisors is an integer number (1932909615).
Almost surely, 2150632108640 is an apocalyptic number.
150632108640 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 150632108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278338984560).
150632108640 is an abundant number, since it is smaller than the sum of its proper divisors (406045860480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
150632108640 is a wasteful number, since it uses less digits than its factorization.
150632108640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 45166 (or 45155 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The spelling of 150632108640 in words is "one hundred fifty billion, six hundred thirty-two million, one hundred eight thousand, six hundred forty".
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