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313293347808 = 2537273912349
BaseRepresentation
bin1001000111100011011…
…11010001101111100000
31002221122221201001202020
410203301233101233200
520113111044112213
6355531443421440
731430462342400
oct4436157215740
91087587631666
10313293347808
11110959a22261
1250875384880
132370ac0c59c
141124082c800
158239758923
hex48f1bd1be0

313293347808 has 144 divisors (see below), whose sum is σ = 969769659600. Its totient is φ = 88286091264.

The previous prime is 313293347777. The next prime is 313293347813. The reversal of 313293347808 is 808743392313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112783 + ... + 799566.

It is an arithmetic number, because the mean of its divisors is an integer number (6734511525).

Almost surely, 2313293347808 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 313293347808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484884829800).

313293347808 is an abundant number, since it is smaller than the sum of its proper divisors (656476311792).

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

313293347808 is a wasteful number, since it uses less digits than its factorization.

313293347808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912449 (or 912434 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 313293347808 in words is "three hundred thirteen billion, two hundred ninety-three million, three hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 73 84 96 98 112 146 147 168 196 219 224 292 294 336 392 438 511 584 588 672 784 876 1022 1168 1176 1533 1568 1752 2044 2336 2352 3066 3504 3577 4088 4704 6132 7008 7154 8176 10731 12264 14308 16352 21462 24528 28616 42924 49056 57232 85848 114464 171696 343392 912349 1824698 2737047 3649396 5474094 6386443 7298792 10948188 12772886 14597584 19159329 21896376 25545772 29195168 38318658 43792752 44705101 51091544 66601477 76637316 87585504 89410202 102183088 133202954 134115303 153274632 178820404 199804431 204366176 266405908 268230606 306549264 357640808 399608862 466210339 532811816 536461212 613098528 715281616 799217724 932420678 1065623632 1072922424 1398631017 1430563232 1598435448 1864841356 2131247264 2145844848 2797262034 3196870896 3263472373 3729682712 4291689696 5594524068 6393741792 6526944746 7459365424 9790417119 11189048136 13053889492 14918730848 19580834238 22378096272 26107778984 39161668476 44756192544 52215557968 78323336952 104431115936 156646673904 313293347808