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5711207936 = 2973171913
BaseRepresentation
bin1010101000110101…
…00001111000000000
3112202000122102102212
411110122201320000
543144032123221
62342415001252
7261346316000
oct52432417000
915660572385
105711207936
112470912065
121134809228
137002c35a5
143c2716000
152365deb5b
hex1546a1e00

5711207936 has 160 divisors (see below), whose sum is σ = 14097758400. Its totient is φ = 2302476288.

The previous prime is 5711207911. The next prime is 5711207941. The reversal of 5711207936 is 6397021175.

It is a junction number, because it is equal to n+sod(n) for n = 5711207893 and 5711207902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2984516 + ... + 2986428.

It is an arithmetic number, because the mean of its divisors is an integer number (88110990).

Almost surely, 25711207936 is an apocalyptic number.

5711207936 is a gapful number since it is divisible by the number (56) 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 5711207936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048879200).

5711207936 is an abundant number, since it is smaller than the sum of its proper divisors (8386550464).

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

5711207936 is an equidigital number, since it uses as much as digits as its factorization.

5711207936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 5711207936 is about 75572.5342700640. The cubic root of 5711207936 is about 1787.4860349114.

The spelling of 5711207936 in words is "five billion, seven hundred eleven million, two hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 343 392 448 476 512 544 686 784 833 896 952 1088 1372 1568 1666 1792 1904 1913 2176 2744 3136 3332 3584 3808 3826 4352 5488 5831 6272 6664 7616 7652 8704 10976 11662 12544 13328 13391 15232 15304 21952 23324 25088 26656 26782 30464 30608 32521 43904 46648 53312 53564 60928 61216 65042 87808 93296 93737 106624 107128 122432 130084 175616 186592 187474 213248 214256 227647 244864 260168 373184 374948 426496 428512 455294 489728 520336 656159 746368 749896 857024 910588 979456 1040672 1312318 1492736 1499792 1593529 1714048 1821176 2081344 2624636 2985472 2999584 3187058 3428096 3642352 4162688 5249272 5999168 6374116 6856192 7284704 8325376 10498544 11154703 11998336 12748232 14569408 16650752 20997088 22309406 23996672 25496464 29138816 41994176 44618812 47993344 50992928 58277632 83988352 89237624 101985856 116555264 167976704 178475248 203971712 335953408 356950496 407943424 713900992 815886848 1427801984 2855603968 5711207936