Search a number
-
+
42266476566 = 23310122772
BaseRepresentation
bin100111010111010001…
…110100000000010110
311001002121211110212000
4213113101310000112
51143030204222231
631230021140130
73024255060126
oct472721640026
9131077743760
1042266476566
1116a1a362476
128236b5a646
133ca77baa62
14208d5d0c86
1511759856e6
hex9d7474016

42266476566 has 72 divisors (see below), whose sum is σ = 95208374520. Its totient is φ = 13898973600.

The previous prime is 42266476547. The next prime is 42266476573. The reversal of 42266476566 is 66567466224.

42266476566 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 6 + 4 + 76 + 566 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 152586420 + ... + 152586696.

It is an arithmetic number, because the mean of its divisors is an integer number (1322338535).

Almost surely, 242266476566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42266476566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47604187260).

42266476566 is an abundant number, since it is smaller than the sum of its proper divisors (52941897954).

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

42266476566 is an equidigital number, since it uses as much as digits as its factorization.

42266476566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 383 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

Multiplying 42266476566 by its sum of digits (54), we get a square (2282389734564 = 15107582).

42266476566 divided by its sum of digits (54) gives a square (782712529 = 279772).

The spelling of 42266476566 in words is "forty-two billion, two hundred sixty-six million, four hundred seventy-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 101 202 277 303 554 606 831 909 1662 1818 2493 2727 4986 5454 7479 10201 14958 20402 27977 30603 55954 61206 76729 83931 91809 153458 167862 183618 230187 251793 275427 460374 503586 550854 690561 755379 1381122 1510758 2071683 2825677 4143366 5651354 7749629 8477031 15499258 16954062 23248887 25431093 46497774 50862186 69746661 76293279 139493322 152586558 209239983 418479966 782712529 1565425058 2348137587 4696275174 7044412761 14088825522 21133238283 42266476566