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42464316510 = 232571137165611
BaseRepresentation
bin100111100011000100…
…100000110001011110
311001121102002210020100
4213203010200301132
51143431331112020
631301405401530
73032206510020
oct474304406136
9131542083210
1042464316510
1117010aaa560
1282912692a6
134009799b05
1420ab9b0010
151188014a90
hex9e3120c5e

42464316510 has 192 divisors, whose sum is σ = 141371702784. Its totient is φ = 8585222400.

The previous prime is 42464316463. The next prime is 42464316529. The reversal of 42464316510 is 1561346424.

42464316510 is a `hidden beast` number, since 4 + 2 + 4 + 643 + 1 + 6 + 5 + 1 + 0 = 666.

It is a super-2 number, since 2×424643165102 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173605 + ... + 339215.

It is an arithmetic number, because the mean of its divisors is an integer number (736310952).

Almost surely, 242464316510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42464316510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70685851392).

42464316510 is an abundant number, since it is smaller than the sum of its proper divisors (98907386274).

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

42464316510 is a wasteful number, since it uses less digits than its factorization.

42464316510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165679 (or 165676 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42464316510 in words is "forty-two billion, four hundred sixty-four million, three hundred sixteen thousand, five hundred ten".