Search a number
-
+
150670440648 = 2332721319434021
BaseRepresentation
bin1000110001010010101…
…0000111100011001000
3112101220111000102112200
42030110222013203020
54432033113100043
6153114514240200
713612516420500
oct2142452074310
9471814012480
10150670440648
1158998599132
122524b286060
131129243c2c0
147414832a00
153dbc8b37d3
hex2314a878c8

150670440648 has 576 divisors, whose sum is σ = 550759809600. Its totient is φ = 36761195520.

The previous prime is 150670440643. The next prime is 150670440653. The reversal of 150670440648 is 846044076051.

It is an interprime number because it is at equal distance from previous prime (150670440643) and next prime (150670440653).

It is a super-3 number, since 3×1506704406483 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (150670440643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37468878 + ... + 37472898.

It is an arithmetic number, because the mean of its divisors is an integer number (956180225).

Almost surely, 2150670440648 is an apocalyptic number.

150670440648 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 150670440648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275379904800).

150670440648 is an abundant number, since it is smaller than the sum of its proper divisors (400089368952).

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

150670440648 is a wasteful number, since it uses less digits than its factorization.

150670440648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 150670440648 in words is "one hundred fifty billion, six hundred seventy million, four hundred forty thousand, six hundred forty-eight".