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996348864 = 26374715773
BaseRepresentation
bin111011011000110…
…001001111000000
32120102210202200210
4323120301033000
54020031130424
6242511114120
733455553120
oct7330611700
92512722623
10996348864
1147145a715
12239812940
1312b55c354
149647ac80
155c70e729
hex3b6313c0

996348864 has 112 divisors (see below), whose sum is σ = 3077065728. Its totient is φ = 278596608.

The previous prime is 996348851. The next prime is 996348877. The reversal of 996348864 is 468843699.

It is an interprime number because it is at equal distance from previous prime (996348851) and next prime (996348877).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×9963488642 = 1985422117588180992, which contains 22 as substring.

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, 55282 + ... + 71054.

Almost surely, 2996348864 is an apocalyptic number.

996348864 is a gapful number since it is divisible by the number (94) 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 996348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538532864).

996348864 is an abundant number, since it is smaller than the sum of its proper divisors (2080716864).

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

996348864 is a wasteful number, since it uses less digits than its factorization.

996348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15842 (or 15832 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The square root of 996348864 is about 31564.9942816405. The cubic root of 996348864 is about 998.7814704555.

The spelling of 996348864 in words is "nine hundred ninety-six million, three hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1128 1316 1344 1504 1974 2256 2632 3008 3948 4512 5264 7896 9024 10528 15773 15792 21056 31546 31584 47319 63092 63168 94638 110411 126184 189276 220822 252368 331233 378552 441644 504736 662466 741331 757104 883288 1009472 1324932 1482662 1514208 1766576 2223993 2649864 2965324 3028416 3533152 4447986 5189317 5299728 5930648 7066304 8895972 10378634 10599456 11861296 15567951 17791944 20757268 21198912 23722592 31135902 35583888 41514536 47445184 62271804 71167776 83029072 124543608 142335552 166058144 249087216 332116288 498174432 996348864