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93364949214 = 235239079209
BaseRepresentation
bin101011011110011111…
…1000001000011011110
322220222202121211200000
41112330333001003132
53012202411333324
6110520302515130
76513445655055
oct1267477010336
9286882554600
1093364949214
1136661097259
1216117895aa6
138a5bcc51a4
144739b8339c
1526669ad9c9
hex15bcfc10de

93364949214 has 96 divisors (see below), whose sum is σ = 219169117440. Its totient is φ = 29732484672.

The previous prime is 93364949213. The next prime is 93364949231. The reversal of 93364949214 is 41294946339.

93364949214 is a `hidden beast` number, since 9 + 336 + 4 + 94 + 9 + 214 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93364949213) 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, 10133842 + ... + 10143050.

It is an arithmetic number, because the mean of its divisors is an integer number (2283011640).

Almost surely, 293364949214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93364949214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109584558720).

93364949214 is an abundant number, since it is smaller than the sum of its proper divisors (125804168226).

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

93364949214 is a wasteful number, since it uses less digits than its factorization.

93364949214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10156 (or 10144 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 93364949214 in words is "ninety-three billion, three hundred sixty-four million, nine hundred forty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 907 1242 1814 1863 2721 3726 5442 5589 8163 9209 11178 16326 18418 20861 24489 27627 41722 48978 55254 62583 73467 82881 125166 146934 165762 187749 211807 220401 248643 375498 423614 440802 497286 563247 635421 745929 1126494 1270842 1491858 1689741 1906263 2237787 3379482 3812526 4475574 5069223 5718789 8352563 10138446 11437578 16705126 17156367 25057689 34312734 50115378 51469101 75173067 102938202 150346134 192108949 225519201 384217898 451038402 576326847 676557603 1152653694 1353115206 1728980541 2029672809 3457961082 4059345618 5186941623 10373883246 15560824869 31121649738 46682474607 93364949214