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313667916990 = 235378316932011
BaseRepresentation
bin1001001000010000001…
…00001001010010111110
31002222122001112011001220
410210020010021102332
520114342441320430
6400032544014210
731442661206001
oct4441004112276
91088561464056
10313667916990
111110313a866a
125095a901366
132376a6b885c
1411278493538
15825c597110
hex49081094be

313667916990 has 128 divisors (see below), whose sum is σ = 783315574272. Its totient is φ = 80316126720.

The previous prime is 313667916853. The next prime is 313667917009. The reversal of 313667916990 is 99619766313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155975085 + ... + 155977095.

It is an arithmetic number, because the mean of its divisors is an integer number (6119652924).

Almost surely, 2313667916990 is an apocalyptic number.

313667916990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313667916990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391657787136).

313667916990 is an abundant number, since it is smaller than the sum of its proper divisors (469647657282).

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

313667916990 is a wasteful number, since it uses less digits than its factorization.

313667916990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834.

The product of its (nonzero) digits is 9920232, while the sum is 60.

The spelling of 313667916990 in words is "three hundred thirteen billion, six hundred sixty-seven million, nine hundred sixteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 83 111 166 185 222 249 370 415 498 555 830 1110 1245 1693 2011 2490 3071 3386 4022 5079 6033 6142 8465 9213 10055 10158 12066 15355 16930 18426 20110 25395 30165 30710 46065 50790 60330 62641 74407 92130 125282 140519 148814 166913 187923 223221 281038 313205 333826 372035 375846 421557 446442 500739 626410 702595 744070 834565 843114 939615 1001478 1116105 1405190 1669130 1879230 2107785 2232210 2503695 3404623 4215570 5007390 5199203 6175781 6809246 10213869 10398406 12351562 15597609 17023115 18527343 20427738 25996015 30878905 31195218 34046230 37054686 51069345 51992030 61757810 77988045 92636715 102138690 125971051 155976090 185273430 251942102 282583709 377913153 565167418 629855255 755826306 847751127 1259710510 1412918545 1695502254 1889565765 2825837090 3779131530 4238755635 8477511270 10455597233 20911194466 31366791699 52277986165 62733583398 104555972330 156833958495 313667916990