Search a number
-
+
150682886928 = 24337317397227
BaseRepresentation
bin1000110001010101100…
…1100110001100010000
3112101221100102202122000
42030111121212030100
54432044304340203
6153120041114000
713613030256150
oct2142531461420
9471840382560
10150682886928
11589a461a212
1225253488900
1311294ba9472
147416352760
153dbda214a3
hex2315666310

150682886928 has 640 divisors, whose sum is σ = 524873072640. Its totient is φ = 40489943040.

The previous prime is 150682886903. The next prime is 150682886929. The reversal of 150682886928 is 829688286051.

150682886928 is a `hidden beast` number, since 1 + 506 + 8 + 28 + 86 + 9 + 28 = 666.

150682886928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (150682886929) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 663801151 + ... + 663801377.

It is an arithmetic number, because the mean of its divisors is an integer number (820114176).

Almost surely, 2150682886928 is an apocalyptic number.

150682886928 is a gapful number since it is divisible by the number (18) 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 150682886928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262436536320).

150682886928 is an abundant number, since it is smaller than the sum of its proper divisors (374190185712).

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

150682886928 is a wasteful number, since it uses less digits than its factorization.

150682886928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 150682886928 in words is "one hundred fifty billion, six hundred eighty-two million, eight hundred eighty-six thousand, nine hundred twenty-eight".