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150151747536 = 24327281641827
BaseRepresentation
bin1000101111010110111…
…1011101011111010000
3112100120100000002100200
42023311233131133100
54430002321410121
6152551225015200
713563620536620
oct2136557353720
9470510002320
10150151747536
115875182433a
1225125624500
131120bb408bb
1473a59b2880
153d8c0a6a26
hex22f5bdd7d0

150151747536 has 240 divisors, whose sum is σ = 483291888768. Its totient is φ = 42629529600.

The previous prime is 150151747531. The next prime is 150151747541. The reversal of 150151747536 is 635747151051.

150151747536 is a `hidden beast` number, since 1 + 50 + 15 + 17 + 47 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (150151747531) and next prime (150151747541).

It is a super-2 number, since 2×1501517475362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150151747491 and 150151747500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150151747531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181561555 + ... + 181562381.

Almost surely, 2150151747536 is an apocalyptic number.

150151747536 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 150151747536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241645944384).

150151747536 is an abundant number, since it is smaller than the sum of its proper divisors (333140141232).

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

150151747536 is a wasteful number, since it uses less digits than its factorization.

150151747536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

Adding to 150151747536 its reverse (635747151051), we get a palindrome (785898898587).

The spelling of 150151747536 in words is "one hundred fifty billion, one hundred fifty-one million, seven hundred forty-seven thousand, five hundred thirty-six".