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93413442213 = 34713109233499
BaseRepresentation
bin101011011111111100…
…0000000001010100101
322221010010212112120000
41112333320000022211
53012302320122323
6110525154131513
76514605105060
oct1267770001245
9287103775500
1093413442213
11366864a8813
121612bb80b99
138a69073680
1447423a78d7
15266ad8be43
hex15bfe002a5

93413442213 has 160 divisors (see below), whose sum is σ = 174414240000. Its totient is φ = 48514028544.

The previous prime is 93413442211. The next prime is 93413442229. The reversal of 93413442213 is 31224431439.

93413442213 is a `hidden beast` number, since 93 + 4 + 1 + 344 + 221 + 3 = 666.

93413442213 is an astonishing number since 93413442213 = 93413 + ... + 442213.

It is not a de Polignac number, because 93413442213 - 21 = 93413442211 is a prime.

Its product of digits (62208) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93413442211) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 187201038 + ... + 187201536.

It is an arithmetic number, because the mean of its divisors is an integer number (1090089000).

Almost surely, 293413442213 is an apocalyptic number.

It is an amenable number.

93413442213 is a deficient number, since it is larger than the sum of its proper divisors (81000797787).

93413442213 is a wasteful number, since it uses less digits than its factorization.

93413442213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 864 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 93413442213 in words is "ninety-three billion, four hundred thirteen million, four hundred forty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 109 117 189 233 273 327 351 499 567 699 763 819 981 1053 1417 1497 1631 2097 2289 2457 2943 3029 3493 4251 4491 4893 6291 6487 6867 7371 8829 9087 9919 10479 12753 13473 14679 18873 19461 20601 21203 25397 27261 29757 31437 38259 40419 44037 45409 54391 58383 61803 63609 76191 81783 89271 94311 114777 116267 132111 136227 163173 175149 177779 190827 228573 245349 267813 282933 330161 348801 380737 408681 489519 525447 533337 572481 685719 707083 803439 813869 990483 1046403 1142211 1226043 1468557 1511471 1600011 1717443 2057157 2121249 2311127 2441607 2971449 3139209 3426633 3678129 4405671 4534413 4800033 4949581 6363747 6933381 7324821 8914347 9417627 10279899 10580297 12673103 13603239 14400099 14848743 19091241 20800143 21974463 26743041 30839697 31740891 38019309 40809717 44546229 57273723 62400429 65923389 88711721 95222673 114057927 122429151 133638687 164750339 187201287 266135163 285668019 342173781 400916061 494251017 798405489 857004057 1026521343 1153252373 1482753051 2395216467 3459757119 4448259153 7185649401 10379271357 13344777459 31137814071 93413442213