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42508245351 = 31113231713463
BaseRepresentation
bin100111100101101100…
…000101100101100111
311001201110202121021110
4213211230011211213
51144024102322401
631310015120103
73033252060315
oct474554054547
9131643677243
1042508245351
1117033883990
1282a3b13033
13401590aa00
1420b37670b5
15118bce09d6
hex9e5b05967

42508245351 has 96 divisors (see below), whose sum is σ = 70105595904. Its totient is φ = 22683024000.

The previous prime is 42508245343. The next prime is 42508245379. The reversal of 42508245351 is 15354280524.

It is not a de Polignac number, because 42508245351 - 23 = 42508245343 is a prime.

It is a super-2 number, since 2×425082453512 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42508245751) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12273246 + ... + 12276708.

It is an arithmetic number, because the mean of its divisors is an integer number (730266624).

Almost surely, 242508245351 is an apocalyptic number.

42508245351 is a deficient number, since it is larger than the sum of its proper divisors (27597350553).

42508245351 is a wasteful number, since it uses less digits than its factorization.

42508245351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 42508245351 in words is "forty-two billion, five hundred eight million, two hundred forty-five thousand, three hundred fifty-one".

Divisors: 1 3 11 13 31 33 39 71 93 143 169 213 341 403 429 507 781 923 1023 1209 1859 2201 2343 2769 3463 4433 5239 5577 6603 10153 10389 11999 13299 15717 24211 28613 30459 35997 38093 45019 57629 72633 85839 107353 114279 131989 135057 172887 245873 314743 322059 371969 395967 495209 585247 737619 944229 1115907 1180883 1395589 1485627 1755741 2704603 3196349 3542649 4091659 4186767 6437717 7622063 8113809 9589047 12274977 15351479 18142657 19313151 22866189 35159839 41552537 46054437 54427971 83842693 99086819 105479517 124657611 199569227 251528079 297260457 457077907 598707681 1089955009 1288128647 1371233721 3269865027 3864385941 14169415117 42508245351