Search a number
-
+
158382120960 = 213335741499
BaseRepresentation
bin1001001110000001001…
…1110110000000000000
3120010210220220101012000
42103200103312000000
510043331310332320
6200432034304000
714304566546460
oct2234023660000
9503726811160
10158382120960
116119563a748
1226841a28000
1311c21013c4b
147946ac7ba0
1541be90ac90
hex24e04f6000

158382120960 has 896 divisors, whose sum is σ = 660562560000. Its totient is φ = 35247882240.

The previous prime is 158382120917. The next prime is 158382120971. The reversal of 158382120960 is 69021283851.

158382120960 is a `hidden beast` number, since 1 + 5 + 8 + 382 + 1 + 209 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317398791 + ... + 317399289.

It is an arithmetic number, because the mean of its divisors is an integer number (737235000).

Almost surely, 2158382120960 is an apocalyptic number.

158382120960 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 158382120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330281280000).

158382120960 is an abundant number, since it is smaller than the sum of its proper divisors (502180439040).

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

158382120960 is an equidigital number, since it uses as much as digits as its factorization.

158382120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 158382120960 in words is "one hundred fifty-eight billion, three hundred eighty-two million, one hundred twenty thousand, nine hundred sixty".