Search a number
-
+
42376937736 = 23372196728307
BaseRepresentation
bin100111011101110111…
…001100000100001000
311001101022200111002110
4213131313030010020
51143241444001421
631245004502320
73030066012300
oct473567140410
9131338614073
1042376937736
1116a767495a1
128267b4a9a0
133cc4654cb3
1420a0146600
151180504a76
hex9dddcc108

42376937736 has 192 divisors, whose sum is σ = 131666169600. Its totient is φ = 11298849408.

The previous prime is 42376937699. The next prime is 42376937737. The reversal of 42376937736 is 63773967324.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (42376937737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1482895 + ... + 1511201.

It is an arithmetic number, because the mean of its divisors is an integer number (685761300).

Almost surely, 242376937736 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 42376937736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65833084800).

42376937736 is an abundant number, since it is smaller than the sum of its proper divisors (89289231864).

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

42376937736 is a wasteful number, since it uses less digits than its factorization.

42376937736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28416 (or 28405 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 57.

The spelling of 42376937736 in words is "forty-two billion, three hundred seventy-six million, nine hundred thirty-seven thousand, seven hundred thirty-six".