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42333724972 = 227111719425533
BaseRepresentation
bin100111011011010010…
…010110000100101100
311001021022101001022201
4213123102112010230
51143144413144342
631240422351244
73026032503460
oct473322260454
9131238331281
1042333724972
1116a54314170
12825558b524
133cb8705006
1420984d84a0
15117b81adb7
hex9db49612c

42333724972 has 96 divisors (see below), whose sum is σ = 102945185280. Its totient is φ = 14706385920.

The previous prime is 42333724969. The next prime is 42333724987. The reversal of 42333724972 is 27942733324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113283 + ... + 312250.

It is an arithmetic number, because the mean of its divisors is an integer number (1072345680).

Almost surely, 242333724972 is an apocalyptic number.

It is an amenable number.

42333724972 is an abundant number, since it is smaller than the sum of its proper divisors (60611460308).

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

42333724972 is a wasteful number, since it uses less digits than its factorization.

42333724972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425591 (or 425589 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 46.

The spelling of 42333724972 in words is "forty-two billion, three hundred thirty-three million, seven hundred twenty-four thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 17 19 22 28 34 38 44 68 76 77 119 133 154 187 209 238 266 308 323 374 418 476 532 646 748 836 1292 1309 1463 2261 2618 2926 3553 4522 5236 5852 7106 9044 14212 24871 49742 99484 425533 851066 1702132 2978731 4680863 5957462 7234061 8085127 9361726 11914924 14468122 16170254 18723452 28936244 32340508 32766041 50638427 56595889 65532082 79574671 88936397 101276854 113191778 131064164 137447159 159149342 177872794 202553708 226383556 274894318 318298684 355745588 549788636 557022697 622554779 962130113 1114045394 1245109558 1511918749 1924260226 2228090788 2490219116 3023837498 3848520452 6047674996 10583431243 21166862486 42333724972