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42426488468 = 22713472719151
BaseRepresentation
bin100111100000110100…
…001101011010010100
311001111202220220220202
4213200310031122110
51143342140112333
631253534520032
73031240126130
oct474064153224
9131452826822
1042426488468
1116aa1712811
128280666018
1340019b3a60
1420a69643c0
151184a415e8
hex9e0d0d694

42426488468 has 96 divisors (see below), whose sum is σ = 93678993408. Its totient is φ = 16364592000.

The previous prime is 42426488449. The next prime is 42426488471. The reversal of 42426488468 is 86488462424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4631693 + ... + 4640843.

It is an arithmetic number, because the mean of its divisors is an integer number (975822848).

Almost surely, 242426488468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42426488468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46839496704).

42426488468 is an abundant number, since it is smaller than the sum of its proper divisors (51252504940).

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

42426488468 is a wasteful number, since it uses less digits than its factorization.

42426488468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9491 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 56.

The spelling of 42426488468 in words is "forty-two billion, four hundred twenty-six million, four hundred eighty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 271 329 364 542 611 658 1084 1222 1316 1897 2444 3523 3794 4277 7046 7588 8554 9151 12737 14092 17108 18302 24661 25474 36604 49322 50948 64057 89159 98644 118963 128114 165581 178318 237926 256228 331162 356636 430097 475852 662324 832741 860194 1159067 1665482 1720388 2318134 2479921 3010679 3330964 4636268 4959842 5591261 6021358 9919684 11182522 12042716 17359447 22365044 32238973 34718894 39138827 64477946 69437788 78277654 116556287 128955892 156555308 225672811 233112574 451345622 466225148 815894009 902691244 1515231731 1631788018 3030463462 3263576036 6060926924 10606622117 21213244234 42426488468