Search a number
-
+
42317458176 = 28373128191
BaseRepresentation
bin100111011010010100…
…010010101100000000
311001020011202121110210
4213122110102230000
51143131232130201
631235041554120
73025444313430
oct473224225400
9131204677423
1042317458176
1116a46113734
128250045940
133cb522aba6
1420962a22c0
15117a1a61d6
hex9da512b00

42317458176 has 216 divisors, whose sum is σ = 133017894912. Its totient is φ = 11699251200.

The previous prime is 42317458153. The next prime is 42317458177. The reversal of 42317458176 is 67185471324.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42317458177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5162241 + ... + 5170431.

Almost surely, 242317458176 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 42317458176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66508947456).

42317458176 is an abundant number, since it is smaller than the sum of its proper divisors (90700436736).

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

42317458176 is an equidigital number, since it uses as much as digits as its factorization.

42317458176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279 (or 8234 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 42317458176 in words is "forty-two billion, three hundred seventeen million, four hundred fifty-eight thousand, one hundred seventy-six".