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991998336 = 2737252721
BaseRepresentation
bin111011001000001…
…011000110000000
32120010121201220010
4323020023012000
54012422421321
6242233544520
733403563300
oct7310130600
92503551803
10991998336
11469a5903a
12238275140
1312a698084
1495a67600
155c150676
hex3b20b180

991998336 has 96 divisors (see below), whose sum is σ = 3065257080. Its totient is φ = 283422720.

The previous prime is 991998323. The next prime is 991998353. The reversal of 991998336 is 633899199.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7545 + ... + 45176.

Almost surely, 2991998336 is an apocalyptic number.

991998336 is a gapful number since it is divisible by the number (96) 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 991998336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532628540).

991998336 is an abundant number, since it is smaller than the sum of its proper divisors (2073258744).

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

991998336 is a wasteful number, since it uses less digits than its factorization.

991998336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52752 (or 52733 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 57.

The square root of 991998336 is about 31496.0050800098. The cubic root of 991998336 is about 997.3256328027.

The spelling of 991998336 in words is "nine hundred ninety-one million, nine hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 52721 105442 158163 210884 316326 369047 421768 632652 738094 843536 1107141 1265304 1476188 1687072 2214282 2530608 2583329 2952376 3374144 4428564 5061216 5166658 5904752 6748288 7749987 8857128 10122432 10333316 11809504 15499974 17714256 20244864 20666632 23619008 30999948 35428512 41333264 47238016 61999896 70857024 82666528 123999792 141714048 165333056 247999584 330666112 495999168 991998336