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42508987326 = 23313443136691
BaseRepresentation
bin100111100101101110…
…111010101110111110
311001201112011022002000
4213211232322232332
51144024300043301
631310043043130
73033261300441
oct474556725676
9131645138060
1042508987326
1117034240393
1282a42104a6
134015b0a650
1420b38bb658
15118bdda786
hex9e5bbabbe

42508987326 has 64 divisors (see below), whose sum is σ = 101961296640. Its totient is φ = 13050067680.

The previous prime is 42508987303. The next prime is 42508987331. The reversal of 42508987326 is 62378980524.

42508987326 is a `hidden beast` number, since 42 + 508 + 9 + 8 + 73 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 242641 + ... + 379331.

It is an arithmetic number, because the mean of its divisors is an integer number (1593145260).

Almost surely, 242508987326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42508987326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50980648320).

42508987326 is an abundant number, since it is smaller than the sum of its proper divisors (59452309314).

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

42508987326 is a wasteful number, since it uses less digits than its factorization.

42508987326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137158 (or 137152 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 42508987326 in words is "forty-two billion, five hundred eight million, nine hundred eighty-seven thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 443 702 886 1329 2658 3987 5759 7974 11518 11961 17277 23922 34554 51831 103662 136691 155493 273382 310986 410073 820146 1230219 1776983 2460438 3553966 3690657 5330949 7381314 10661898 15992847 31985694 47978541 60554113 95957082 121108226 181662339 363324678 544987017 787203469 1089974034 1574406938 1634961051 2361610407 3269922102 4723220814 7084831221 14169662442 21254493663 42508987326