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42353262048 = 2532329661439
BaseRepresentation
bin100111011100011100…
…110111110111100000
311001022200010122011010
4213130130313313200
51143214413341143
631242401220520
73026360534046
oct473434676740
9131280118133
1042353262048
1116a64348709
128260031740
133cbc785806
14209ad42396
15117d3c9a33
hex9dc737de0

42353262048 has 96 divisors (see below), whose sum is σ = 120011673600. Its totient is φ = 13038265856.

The previous prime is 42353262047. The next prime is 42353262059. The reversal of 42353262048 is 84026235324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×423532620482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42353261997 and 42353262015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42353262047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266688 + ... + 394751.

It is an arithmetic number, because the mean of its divisors is an integer number (1250121600).

Almost surely, 242353262048 is an apocalyptic number.

42353262048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42353262048 is an abundant number, since it is smaller than the sum of its proper divisors (77658411552).

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

42353262048 is a wasteful number, since it uses less digits than its factorization.

42353262048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661504 (or 661496 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 42353262048 in words is "forty-two billion, three hundred fifty-three million, two hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 2001 2208 2668 2784 4002 5336 8004 10672 16008 21344 32016 64032 661439 1322878 1984317 2645756 3968634 5291512 7937268 10583024 15213097 15874536 19181731 21166048 30426194 31749072 38363462 45639291 57545193 60852388 63498144 76726924 91278582 115090386 121704776 153453848 182557164 230180772 243409552 306907696 365114328 441179813 460361544 486819104 613815392 730228656 882359626 920723088 1323539439 1460457312 1764719252 1841446176 2647078878 3529438504 5294157756 7058877008 10588315512 14117754016 21176631024 42353262048