Search a number
-
+
42059787016 = 2313232764501
BaseRepresentation
bin100111001010111101…
…010110101100001000
311000120012220120002111
4213022331112230020
51142114301141031
631153315112104
73016165201522
oct471275265410
9130505816074
1042059787016
1116923720565
1281998a2634
133c73a30950
14206dd8aa12
1511627591b1
hex9caf56b08

42059787016 has 48 divisors (see below), whose sum is σ = 88781617260. Its totient is φ = 18568176000.

The previous prime is 42059786999. The next prime is 42059787017. The reversal of 42059787016 is 61078795024.

42059787016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40872708900 + 1187078116 = 202170^2 + 34454^2 .

It is a super-3 number, since 3×420597870163 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42059787017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327235 + ... + 437266.

Almost surely, 242059787016 is an apocalyptic number.

42059787016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42059787016 is an abundant number, since it is smaller than the sum of its proper divisors (46721830244).

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

42059787016 is a wasteful number, since it uses less digits than its factorization.

42059787016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764566 (or 764539 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 42059787016 in words is "forty-two billion, fifty-nine million, seven hundred eighty-seven thousand, sixteen".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 529 598 1058 1196 2116 2392 4232 6877 13754 27508 55016 764501 1529002 3058004 6116008 9938513 17583523 19877026 35167046 39754052 70334092 79508104 140668184 228585799 404421029 457171598 808842058 914343196 1617684116 1828686392 3235368232 5257473377 10514946754 21029893508 42059787016