Search a number
-
+
150380308520 = 2351319291573343
BaseRepresentation
bin1000110000001101011…
…1010110100000101000
3112101011021002012002022
42030003113112200220
54430434324333040
6153030031524012
713602364350311
oct2140327264050
9471137065068
10150380308520
1158859844612
122518a089608
13112472b7ba0
1473c80ab608
153da21a36b5
hex23035d6828

150380308520 has 256 divisors, whose sum is σ = 399434112000. Its totient is φ = 50450190336.

The previous prime is 150380308487. The next prime is 150380308541. The reversal of 150380308520 is 25803083051.

It is a Cunningham number, because it is equal to 3877892-1.

It is a super-2 number, since 2×1503803085202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44981969 + ... + 44985311.

It is an arithmetic number, because the mean of its divisors is an integer number (1560289500).

Almost surely, 2150380308520 is an apocalyptic number.

150380308520 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 150380308520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199717056000).

150380308520 is an abundant number, since it is smaller than the sum of its proper divisors (249053803480).

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

150380308520 is a wasteful number, since it uses less digits than its factorization.

150380308520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 150380308520 in words is "one hundred fifty billion, three hundred eighty million, three hundred eight thousand, five hundred twenty".