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42666262020 = 223251132097653
BaseRepresentation
bin100111101111000110…
…110111111000000100
311002010111002200101200
4213233012313320010
51144340030341040
631333422022500
73040211146314
oct475706677004
9132114080350
1042666262020
1117104aa1178
128328a17a30
13403c5857b5
1420ca73b444
15119ab05630
hex9ef1b7e04

42666262020 has 72 divisors (see below), whose sum is σ = 130566375576. Its totient is φ = 11276977152.

The previous prime is 42666262019. The next prime is 42666262021. The reversal of 42666262020 is 2026266624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42666262019) and next prime (42666262021).

It can be written as a sum of positive squares in 4 ways, for example, as 4893562116 + 37772699904 = 69954^2 + 194352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42666262021) 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, 1028487 + ... + 1069166.

It is an arithmetic number, because the mean of its divisors is an integer number (1813421883).

Almost surely, 242666262020 is an apocalyptic number.

It is an amenable number.

42666262020 is an abundant number, since it is smaller than the sum of its proper divisors (87900113556).

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

42666262020 is a wasteful number, since it uses less digits than its factorization.

42666262020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097781 (or 2097776 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 42666262020 in words is "forty-two billion, six hundred sixty-six million, two hundred sixty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 2097653 4195306 6292959 8390612 10488265 12585918 18878877 20976530 25171836 31464795 37757754 41953060 62929590 75515508 94394385 125859180 188788770 237034789 377577540 474069578 711104367 948139156 1185173945 1422208734 2133313101 2370347890 2844417468 3555521835 4266626202 4740695780 7111043670 8533252404 10666565505 14222087340 21333131010 42666262020