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996116904 = 2332174791699
BaseRepresentation
bin111011010111111…
…000100110101000
32120102100222111200
4323113320212220
54020001220104
6242502124200
733453565626
oct7327704650
92512328450
10996116904
11471311412
12239720660
1312b4aa8b3
149641a516
155c6b5b39
hex3b5f89a8

996116904 has 96 divisors (see below), whose sum is σ = 2864160000. Its totient is φ = 311671296.

The previous prime is 996116903. The next prime is 996116909. The reversal of 996116904 is 409611699.

It is a self number, because there is not a number n which added to its sum of digits gives 996116904.

It is not an unprimeable number, because it can be changed into a prime (996116903) 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 23 ways as a sum of consecutive naturals, for example, 585447 + ... + 587145.

It is an arithmetic number, because the mean of its divisors is an integer number (29835000).

Almost surely, 2996116904 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 996116904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432080000).

996116904 is an abundant number, since it is smaller than the sum of its proper divisors (1868043096).

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

996116904 is a wasteful number, since it uses less digits than its factorization.

996116904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 996116904 is about 31561.3197442693. The cubic root of 996116904 is about 998.7039556614.

The spelling of 996116904 in words is "nine hundred ninety-six million, one hundred sixteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 479 612 958 1224 1437 1699 1916 2874 3398 3832 4311 5097 5748 6796 8143 8622 10194 11496 13592 15291 16286 17244 20388 24429 28883 30582 32572 34488 40776 48858 57766 61164 65144 73287 86649 97716 115532 122328 146574 173298 195432 231064 259947 293148 346596 519894 586296 693192 813821 1039788 1627642 2079576 2441463 3255284 4882926 6510568 7324389 9765852 13834957 14648778 19531704 27669914 29297556 41504871 55339828 58595112 83009742 110679656 124514613 166019484 249029226 332038968 498058452 996116904