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994976768 = 2103726261
BaseRepresentation
bin111011010011100…
…010010000000000
32120100020001112102
4323103202100000
54014203224033
6242421445532
733441106622
oct7323422000
92510201472
10994976768
11470702855
122392708a8
1312b19b966
1496200c12
155c53cde8
hex3b4e2400

994976768 has 44 divisors (see below), whose sum is σ = 2042815932. Its totient is φ = 484024320.

The previous prime is 994976707. The next prime is 994976779. The reversal of 994976768 is 867679499.

It can be written as a sum of positive squares in 2 ways, for example, as 373571584 + 621405184 = 19328^2 + 24928^2 .

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 3 ways as a sum of consecutive naturals, for example, 24758 + ... + 51018.

Almost surely, 2994976768 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 994976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021407966).

994976768 is an abundant number, since it is smaller than the sum of its proper divisors (1047839164).

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

994976768 is a wasteful number, since it uses less digits than its factorization.

994976768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26318 (or 26300 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 65.

The square root of 994976768 is about 31543.2523370689. The cubic root of 994976768 is about 998.3227778318.

The spelling of 994976768 in words is "nine hundred ninety-four million, nine hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2368 4736 9472 18944 26261 37888 52522 105044 210088 420176 840352 971657 1680704 1943314 3361408 3886628 6722816 7773256 13445632 15546512 26891264 31093024 62186048 124372096 248744192 497488384 994976768