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42662433924 = 223211831297993
BaseRepresentation
bin100111101110111000…
…010001010010000100
311002010012220012020100
4213232320101102010
51144333040341144
631333204004100
73040133463555
oct475670212204
9132105805210
1042662433924
1117102917060
128327690630
13403b845256
1420ca02232c
15119a5eb269
hex9eee11484

42662433924 has 72 divisors (see below), whose sum is σ = 119062393632. Its totient is φ = 12772241280.

The previous prime is 42662433923. The next prime is 42662433941. The reversal of 42662433924 is 42933426624.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42662433924.

It is not an unprimeable number, because it can be changed into a prime (42662433923) 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, 616129 + ... + 681864.

It is an arithmetic number, because the mean of its divisors is an integer number (1653644356).

Almost surely, 242662433924 is an apocalyptic number.

42662433924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42662433924 is an abundant number, since it is smaller than the sum of its proper divisors (76399959708).

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

42662433924 is a wasteful number, since it uses less digits than its factorization.

42662433924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298097 (or 1298092 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 42662433924 in words is "forty-two billion, six hundred sixty-two million, four hundred thirty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3652 5478 8217 10956 16434 32868 1297993 2595986 3893979 5191972 7787958 11681937 14277923 15575916 23363874 28555846 42833769 46727748 57111692 85667538 107733419 128501307 171335076 215466838 257002614 323200257 430933676 514005228 646400514 969600771 1185067609 1292801028 1939201542 2370135218 3555202827 3878403084 4740270436 7110405654 10665608481 14220811308 21331216962 42662433924