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42327252513 = 347135742403
BaseRepresentation
bin100111011010111001…
…101001111000100001
311001020212012012210000
4213122321221320201
51143141234040023
631240031530213
73025623465360
oct473271517041
9131225165700
1042327252513
1116a506a3327
128253389969
133cb7279c60
1420976d17d7
15117ae8d243
hex9dae69e21

42327252513 has 40 divisors (see below), whose sum is σ = 77821059008. Its totient is φ = 22326458976.

The previous prime is 42327252469. The next prime is 42327252529. The reversal of 42327252513 is 31525272324.

42327252513 is a `hidden beast` number, since 4 + 23 + 2 + 72 + 52 + 513 = 666.

It is not a de Polignac number, because 42327252513 - 26 = 42327252449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42327252593) 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 39 ways as a sum of consecutive naturals, for example, 2863831 + ... + 2878572.

Almost surely, 242327252513 is an apocalyptic number.

It is an amenable number.

42327252513 is a deficient number, since it is larger than the sum of its proper divisors (35493806495).

42327252513 is a wasteful number, since it uses less digits than its factorization.

42327252513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742435 (or 5742426 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The spelling of 42327252513 in words is "forty-two billion, three hundred twenty-seven million, two hundred fifty-two thousand, five hundred thirteen".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 273 351 567 819 1053 2457 7371 5742403 17227209 40196821 51681627 74651239 120590463 155044881 223953717 361771389 465134643 522558673 671861151 1085314167 1567676019 2015583453 3255942501 4703028057 6046750359 14109084171 42327252513