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213580537974 = 232194117538689
BaseRepresentation
bin1100011011101001100…
…1000110000001110110
3202102021210110111100100
43012322121012001312
511444403104203344
6242041220054530
721300503422116
oct3067231060166
9672253414310
10213580537974
1182640711401
1235487834446
13171a9a6416b
14a4a19a9046
15585084c569
hex31ba646076

213580537974 has 96 divisors (see below), whose sum is σ = 499336437600. Its totient is φ = 65756344320.

The previous prime is 213580537949. The next prime is 213580537979. The reversal of 213580537974 is 479735085312.

213580537974 is a `hidden beast` number, since 2 + 1 + 3 + 580 + 53 + 7 + 9 + 7 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213580537974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213580537979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24576222 + ... + 24584910.

It is an arithmetic number, because the mean of its divisors is an integer number (5201421225).

Almost surely, 2213580537974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213580537974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249668218800).

213580537974 is an abundant number, since it is smaller than the sum of its proper divisors (285755899626).

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

213580537974 is a wasteful number, since it uses less digits than its factorization.

213580537974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10510 (or 10507 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 213580537974 in words is "two hundred thirteen billion, five hundred eighty million, five hundred thirty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 1753 2337 3506 4674 5259 7011 8689 10518 14022 15777 17378 26067 31554 33307 52134 66614 71873 78201 99921 143746 156402 165091 199842 215619 299763 330182 356249 431238 495273 599526 646857 712498 990546 1068747 1293714 1365587 1485819 2137494 2731174 2971638 3206241 4096761 6412482 6768731 8193522 12290283 13537462 15231817 20306193 24580566 30463634 40612386 45695451 60918579 91390902 121837158 137086353 274172706 289404523 578809046 624504497 868213569 1249008994 1736427138 1873513491 2604640707 3747026982 5209281414 5620540473 11241080946 11865585443 23731170886 35596756329 71193512658 106790268987 213580537974