Search a number
-
+
158881231872 = 2103211217329
BaseRepresentation
bin1001001111111000001…
…1110011010000000000
3120012002201001211122100
42103332003303100000
510100342043404442
6200553344110400
714323140121356
oct2237603632000
9505081054570
10158881231872
116142134a100
1226961005400
1311ca054744c
1479930cb7d6
1541ed64a84c
hex24fe0f3400

158881231872 has 792 divisors, whose sum is σ = 554248585800. Its totient is φ = 43751178240.

The previous prime is 158881231871. The next prime is 158881231891. The reversal of 158881231872 is 278132188851.

It can be written as a sum of positive squares in 4 ways, for example, as 30728687616 + 128152544256 = 175296^2 + 357984^2 .

It is a tau number, because it is divible by the number of its divisors (792).

Its product of digits (1720320) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158881231871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5478663154 + ... + 5478663182.

Almost surely, 2158881231872 is an apocalyptic number.

158881231872 is a gapful number since it is divisible by the number (12) 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 158881231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277124292900).

158881231872 is an abundant number, since it is smaller than the sum of its proper divisors (395367353928).

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

158881231872 is a wasteful number, since it uses less digits than its factorization.

158881231872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 62 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 54.

The spelling of 158881231872 in words is "one hundred fifty-eight billion, eight hundred eighty-one million, two hundred thirty-one thousand, eight hundred seventy-two".