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42504522324 = 2231127125807
BaseRepresentation
bin100111100101011101…
…111000101001010100
311001201012202110020120
4213211131320221110
51144022124203244
631305403231540
73033205323105
oct474535705124
9131635673216
1042504522324
1117031770800
1282a28185b0
134014c06234
1420b30783ac
15118b807819
hex9e5778a54

42504522324 has 108 divisors (see below), whose sum is σ = 110589036096. Its totient is φ = 12696560800.

The previous prime is 42504522317. The next prime is 42504522341. The reversal of 42504522324 is 42322540524.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7316629 + ... + 7322435.

Almost surely, 242504522324 is an apocalyptic number.

42504522324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42504522324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55294518048).

42504522324 is an abundant number, since it is smaller than the sum of its proper divisors (68084513772).

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

42504522324 is a wasteful number, since it uses less digits than its factorization.

42504522324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

The spelling of 42504522324 in words is "forty-two billion, five hundred four million, five hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 121 132 142 213 242 284 363 426 484 726 781 852 1452 1562 2343 3124 4686 5041 5807 8591 9372 10082 11614 15123 17182 17421 20164 23228 25773 30246 34364 34842 51546 55451 60492 63877 69684 103092 110902 127754 166353 191631 221804 255508 332706 383262 412297 609961 665412 702647 766524 824594 1219922 1236891 1405294 1649188 1829883 2107941 2439844 2473782 2810588 3659766 4215882 4535267 4947564 7319532 8431764 9070534 13605801 18141068 27211602 29273087 49887937 54423204 58546174 87819261 99775874 117092348 149663811 175638522 199551748 299327622 322003957 351277044 598655244 644007914 966011871 1288015828 1932023742 3542043527 3864047484 7084087054 10626130581 14168174108 21252261162 42504522324