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150220736640 = 273251317196211
BaseRepresentation
bin1000101111100111011…
…0101000100010000000
3112100202010211002121200
42023321312220202000
54430123002033030
6153002131421200
713565416123212
oct2137166504200
9470663732550
10150220736640
1158787764927
1225144754800
1311220217260
1473b0c105b2
153d93182d60
hex22f9da8880

150220736640 has 768 divisors, whose sum is σ = 622725667200. Its totient is φ = 32965263360.

The previous prime is 150220736581. The next prime is 150220736641. The reversal of 150220736640 is 46637022051.

150220736640 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 2 + 0 + 7 + 3 + 6 + 640 = 666.

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 = 150220736595 and 150220736604.

It is not an unprimeable number, because it can be changed into a prime (150220736641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24183135 + ... + 24189345.

Almost surely, 2150220736640 is an apocalyptic number.

150220736640 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 150220736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311362833600).

150220736640 is an abundant number, since it is smaller than the sum of its proper divisors (472504930560).

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

150220736640 is a wasteful number, since it uses less digits than its factorization.

150220736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 150220736640 its reverse (46637022051), we get a palindrome (196857758691).

The spelling of 150220736640 in words is "one hundred fifty billion, two hundred twenty million, seven hundred thirty-six thousand, six hundred forty".