Search a number
-
+
159130326384 = 243319375983107
BaseRepresentation
bin1001010000110011101…
…0000001010101110000
3120012202001210011002000
42110030322001111300
510101344330421014
6201034203054000
714332253312421
oct2241472012560
9505661704060
10159130326384
1161539a14537
1226a10511300
1312010030953
1479b820d648
154215451509
hex250ce81570

159130326384 has 640 divisors, whose sum is σ = 512967168000. Its totient is φ = 47041938432.

The previous prime is 159130326353. The next prime is 159130326409. The reversal of 159130326384 is 483623031951.

159130326384 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 3 + 0 + 3 + 2 + 638 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1487199259 + ... + 1487199365.

It is an arithmetic number, because the mean of its divisors is an integer number (801511200).

Almost surely, 2159130326384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159130326384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256483584000).

159130326384 is an abundant number, since it is smaller than the sum of its proper divisors (353836841616).

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

159130326384 is a wasteful number, since it uses less digits than its factorization.

159130326384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 159130326384 in words is "one hundred fifty-nine billion, one hundred thirty million, three hundred twenty-six thousand, three hundred eighty-four".