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996916992 = 28317292633
BaseRepresentation
bin111011011010111…
…011111100000000
32120110212122000120
4323122323330000
54020202320432
6242531220240
733463440351
oct7332737400
92513778016
10996916992
11471808545
12239a47680
1312b6cab16
1496587d28
155c7c2c2c
hex3b6bbf00

996916992 has 144 divisors (see below), whose sum is σ = 2907303840. Its totient is φ = 301858816.

The previous prime is 996916979. The next prime is 996916993. The reversal of 996916992 is 299619699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996916993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 377308 + ... + 379940.

It is an arithmetic number, because the mean of its divisors is an integer number (20189610).

Almost surely, 2996916992 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 996916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453651920).

996916992 is an abundant number, since it is smaller than the sum of its proper divisors (1910386848).

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

996916992 is a wasteful number, since it uses less digits than its factorization.

996916992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2684 counting only the distinct ones).

The product of its digits is 4251528, while the sum is 60.

The square root of 996916992 is about 31573.9923354650. The cubic root of 996916992 is about 998.9712727498.

The spelling of 996916992 in words is "nine hundred ninety-six million, nine hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 256 272 348 384 408 464 493 544 696 768 816 928 986 1088 1392 1479 1632 1856 1972 2176 2633 2784 2958 3264 3712 3944 4352 5266 5568 5916 6528 7424 7888 7899 10532 11136 11832 13056 15776 15798 21064 22272 23664 31552 31596 42128 44761 47328 63104 63192 76357 84256 89522 94656 126208 126384 134283 152714 168512 179044 189312 229071 252768 268566 305428 337024 358088 378624 458142 505536 537132 610856 674048 716176 916284 1011072 1074264 1221712 1298069 1432352 1832568 2022144 2148528 2443424 2596138 2864704 3665136 3894207 4297056 4886848 5192276 5729408 7330272 7788414 8594112 9773696 10384552 11458816 14660544 15576828 17188224 19547392 20769104 29321088 31153656 34376448 41538208 58642176 62307312 83076416 124614624 166152832 249229248 332305664 498458496 996916992