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2313929688 = 233767241853
BaseRepresentation
bin1000100111101011…
…1100001111011000
312222021001210210120
42021322330033120
514214331222223
61021335313240
7111225035460
oct21172741730
95867053716
102313929688
11a88175694
12546b1b820
132ab511585
1417d456ba0
15d8223be3
hex89ebc3d8

2313929688 has 128 divisors (see below), whose sum is σ = 6745643520. Its totient is φ = 647792640.

The previous prime is 2313929647. The next prime is 2313929699. The reversal of 2313929688 is 8869293132.

It is a self number, because there is not a number n which added to its sum of digits gives 2313929688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2712270 + ... + 2713122.

It is an arithmetic number, because the mean of its divisors is an integer number (52700340).

Almost surely, 22313929688 is an apocalyptic number.

2313929688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313929688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372821760).

2313929688 is an abundant number, since it is smaller than the sum of its proper divisors (4431713832).

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

2313929688 is a wasteful number, since it uses less digits than its factorization.

2313929688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1173 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 2313929688 is about 48103.3230452949. The cubic root of 2313929688 is about 1322.6655823303.

The spelling of 2313929688 in words is "two billion, three hundred thirteen million, nine hundred twenty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 241 268 402 469 482 536 723 804 853 938 964 1407 1446 1608 1687 1706 1876 1928 2559 2814 2892 3374 3412 3752 5061 5118 5628 5784 5971 6748 6824 10122 10236 11256 11942 13496 16147 17913 20244 20472 23884 32294 35826 40488 47768 48441 57151 64588 71652 96882 113029 114302 129176 143304 171453 193764 205573 226058 228604 339087 342906 387528 400057 411146 452116 457208 616719 678174 685812 800114 822292 904232 1200171 1233438 1356348 1371624 1439011 1600228 1644584 2400342 2466876 2712696 2878022 3200456 4317033 4800684 4933752 5756044 8634066 9601368 11512088 13773391 17268132 27546782 34536264 41320173 55093564 82640346 96413737 110187128 165280692 192827474 289241211 330561384 385654948 578482422 771309896 1156964844 2313929688