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996945555564 = 223273956133157
BaseRepresentation
bin11101000000111101001…
…01011111000001101100
310112022021211221120102100
432200132211133001230
5112313221030234224
62041553535055100
7132012145255140
oct16403645370154
93468254846370
10996945555564
11354890859652
1214126b071490
137301c530c7a
143637690b220
151aded51aac9
hexe81e95f06c

996945555564 has 36 divisors (see below), whose sum is σ = 2880064939024. Its totient is φ = 284841587232.

The previous prime is 996945555533. The next prime is 996945555577. The reversal of 996945555564 is 465555549699.

996945555564 is a `hidden beast` number, since 9 + 9 + 6 + 9 + 4 + 5 + 5 + 55 + 564 = 666.

996945555564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×9969455555642 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 996945555492 and 996945555501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1978066327 + ... + 1978066830.

Almost surely, 2996945555564 is an apocalyptic number.

It is an amenable number.

996945555564 is an abundant number, since it is smaller than the sum of its proper divisors (1883119383460).

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

996945555564 is a wasteful number, since it uses less digits than its factorization.

996945555564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956133174 (or 3956133169 counting only the distinct ones).

The product of its digits is 1312200000, while the sum is 72.

The spelling of 996945555564 in words is "nine hundred ninety-six billion, nine hundred forty-five million, five hundred fifty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3956133157 7912266314 11868399471 15824532628 23736798942 27692932099 35605198413 47473597884 55385864198 71210396826 83078796297 110771728396 142420793652 166157592594 249236388891 332315185188 498472777782 996945555564