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742362800316 = 223233790780149
BaseRepresentation
bin10101100110110000100…
…01010110000010111100
32121222011112120121221020
422303120101112002330
544130324334102231
61325011535104140
7104430304454664
oct12633021260274
92558145517836
10742362800316
1126691a4a1575
12bba5b972050
1355009bb20a7
1427d0560b1a4
151449d218396
hexacd84560bc

742362800316 has 96 divisors (see below), whose sum is σ = 1858413043200. Its totient is φ = 230041430784.

The previous prime is 742362800297. The next prime is 742362800321. The reversal of 742362800316 is 613008263247.

It is a super-2 number, since 2×7423628003162 (a number of 25 digits) contains 22 as substring.

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, 9222210 + ... + 9302358.

It is an arithmetic number, because the mean of its divisors is an integer number (19358469200).

Almost surely, 2742362800316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742362800316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929206521600).

742362800316 is an abundant number, since it is smaller than the sum of its proper divisors (1116050242884).

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

742362800316 is a wasteful number, since it uses less digits than its factorization.

742362800316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81123 (or 81121 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 742362800316 in words is "seven hundred forty-two billion, three hundred sixty-two million, eight hundred thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 907 1702 1814 2553 2721 3404 3628 5106 5442 10212 10884 20861 33559 41722 62583 67118 80149 83444 100677 125166 134236 160298 201354 240447 250332 320596 402708 480894 771857 961788 1543714 1843427 2315571 2965513 3087428 3686854 4631142 5530281 5931026 7373708 8896539 9262284 11060562 11862052 17793078 22121124 35586156 68206799 72695143 136413598 145390286 204620397 218085429 272827196 290780572 409240794 436170858 818481588 872341716 1671988289 2689720291 3343976578 5015964867 5379440582 6687953156 8069160873 10031929734 10758881164 16138321746 20063859468 32276643492 61863566693 123727133386 185590700079 247454266772 371181400158 742362800316