Search a number
-
+
150421567680 = 26325237692953
BaseRepresentation
bin1000110000010111010…
…0101111100011000000
3112101021010201101000100
42030011310233203000
54431030410131210
6153034104122400
713603405141356
oct2140564574300
9471233641010
10150421567680
115888006519a
122519ba66400
1311252a028a7
1473cd76b7d6
153da5b035c0
hex2305d2f8c0

150421567680 has 336 divisors, whose sum is σ = 540767747520. Its totient is φ = 38305529856.

The previous prime is 150421567663. The next prime is 150421567691. The reversal of 150421567680 is 86765124051.

150421567680 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 2 + 1 + 567 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50937084 + ... + 50940036.

It is an arithmetic number, because the mean of its divisors is an integer number (1609427820).

Almost surely, 2150421567680 is an apocalyptic number.

150421567680 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 150421567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270383873760).

150421567680 is an abundant number, since it is smaller than the sum of its proper divisors (390346179840).

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

150421567680 is a wasteful number, since it uses less digits than its factorization.

150421567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 150421567680 in words is "one hundred fifty billion, four hundred twenty-one million, five hundred sixty-seven thousand, six hundred eighty".