Search a number
-
+
156494381904 = 243272194171401
BaseRepresentation
bin1001000110111111001…
…0101100001101010000
3112221221100210022000200
42101233302230031100
510031000030210104
6155520441415200
714210035204200
oct2215762541520
9487840708020
10156494381904
1160406aa9423
12263b579a500
13119acbb40a3
1478080d2400
15410dd20b39
hex246fcac350

156494381904 has 720 divisors, whose sum is σ = 558493004160. Its totient is φ = 40642560000.

The previous prime is 156494381873. The next prime is 156494381921. The reversal of 156494381904 is 409183494651.

156494381904 is a `hidden beast` number, since 15 + 6 + 4 + 9 + 438 + 190 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 390260104 + ... + 390260504.

It is an arithmetic number, because the mean of its divisors is an integer number (775684728).

Almost surely, 2156494381904 is an apocalyptic number.

156494381904 is a gapful number since it is divisible by the number (14) 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 156494381904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279246502080).

156494381904 is an abundant number, since it is smaller than the sum of its proper divisors (401998622256).

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

156494381904 is a wasteful number, since it uses less digits than its factorization.

156494381904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 156494381904 in words is "one hundred fifty-six billion, four hundred ninety-four million, three hundred eighty-one thousand, nine hundred four".