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1316829696 = 2937139421
BaseRepresentation
bin100111001111101…
…0011101000000000
310101202211212202020
41032133103220000
510144102022241
6334400121440
744426603430
oct11637235000
93352755666
101316829696
11616352706
12309006280
1317ca7b390
14c6c622c0
157a916b66
hex4e7d3a00

1316829696 has 160 divisors (see below), whose sum is σ = 4318140288. Its totient is φ = 347258880.

The previous prime is 1316829653. The next prime is 1316829697. The reversal of 1316829696 is 6969286131.

It is not an unprimeable number, because it can be changed into a prime (1316829697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135066 + ... + 144486.

Almost surely, 21316829696 is an apocalyptic number.

1316829696 is a gapful number since it is divisible by the number (16) 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 1316829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159070144).

1316829696 is an abundant number, since it is smaller than the sum of its proper divisors (3001310592).

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

1316829696 is an equidigital number, since it uses as much as digits as its factorization.

1316829696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9462 (or 9446 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 1316829696 is about 36288.1481478457. The cubic root of 1316829696 is about 1096.0823991897.

The spelling of 1316829696 in words is "one billion, three hundred sixteen million, eight hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4992 5376 5824 6656 8736 9421 9984 10752 11648 17472 18842 19968 23296 28263 34944 37684 46592 56526 65947 69888 75368 113052 122473 131894 139776 150736 197841 226104 244946 263788 301472 367419 395682 452208 489892 527576 602944 734838 791364 857311 904416 979784 1055152 1205888 1469676 1582728 1714622 1808832 1959568 2110304 2411776 2571933 2939352 3165456 3429244 3617664 3919136 4220608 4823552 5143866 5878704 6330912 6858488 7235328 7838272 8441216 10287732 11757408 12661824 13716976 14470656 15676544 16882432 20575464 23514816 25323648 27433952 31353088 33764864 41150928 47029632 50647296 54867904 62706176 82301856 94059264 101294592 109735808 164603712 188118528 219471616 329207424 438943232 658414848 1316829696