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42112097808 = 243111731151343
BaseRepresentation
bin100111001110000100…
…111001111000010000
311000200212100020000020
4213032010321320100
51142221144112213
631202424223440
73020401632234
oct471604717020
9130625306006
1042112097808
11169501aa420
1281b330ab80
133c81817a91
142076cc65c4
15116713d923
hex9ce139e10

42112097808 has 160 divisors (see below), whose sum is σ = 129715126272. Its totient is φ = 11623065600.

The previous prime is 42112097759. The next prime is 42112097809. The reversal of 42112097808 is 80879021124.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42112097808.

It is not an unprimeable number, because it can be changed into a prime (42112097809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202585 + ... + 353927.

Almost surely, 242112097808 is an apocalyptic number.

42112097808 is a gapful number since it is divisible by the number (48) 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 42112097808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64857563136).

42112097808 is an abundant number, since it is smaller than the sum of its proper divisors (87603028464).

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

42112097808 is a wasteful number, since it uses less digits than its factorization.

42112097808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151413 (or 151407 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 42112097808 in words is "forty-two billion, one hundred twelve million, ninety-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 31 33 34 44 48 51 62 66 68 88 93 102 124 132 136 176 186 187 204 248 264 272 341 372 374 408 496 527 528 561 682 744 748 816 1023 1054 1122 1364 1488 1496 1581 2046 2108 2244 2728 2992 3162 4092 4216 4488 5456 5797 6324 8184 8432 8976 11594 12648 16368 17391 23188 25296 34782 46376 69564 92752 139128 151343 278256 302686 454029 605372 908058 1210744 1664773 1816116 2421488 2572831 3329546 3632232 4691633 4994319 5145662 6659092 7264464 7718493 9383266 9988638 10291324 13318184 14074899 15436986 18766532 19977276 20582648 26636368 28149798 28301141 30873972 37533064 39954552 41165296 51607963 56299596 56602282 61747944 75066128 79757761 79909104 84903423 103215926 112599192 113204564 123495888 154823889 159515522 169806846 206431852 225198384 226409128 239273283 309647778 319031044 339613692 412863704 452818256 478546566 619295556 638062088 679227384 825727408 877335371 957093132 1238591112 1276124176 1358454768 1754670742 1914186264 2477182224 2632006113 3509341484 3828372528 5264012226 7018682968 10528024452 14037365936 21056048904 42112097808