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996973347968 = 27131931533823
BaseRepresentation
bin11101000001000000011…
…11100000010010000000
310112022100210020120102122
432200200033200102000
5112313300134113333
62042000410503412
7132012633430433
oct16404017402200
93468323216378
10996973347968
113548a5511484
12141278434b68
1373025212190
143637a4a381a
151ae00baa798
hexe8203e0480

996973347968 has 64 divisors (see below), whose sum is σ = 2251515033600. Its totient is φ = 435923555328.

The previous prime is 996973347907. The next prime is 996973348001. The reversal of 996973347968 is 869743379699.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 996973347892 and 996973347901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15735296 + ... + 15798527.

It is an arithmetic number, because the mean of its divisors is an integer number (35179922400).

Almost surely, 2996973347968 is an apocalyptic number.

It is an amenable number.

996973347968 is an abundant number, since it is smaller than the sum of its proper divisors (1254541685632).

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

996973347968 is a wasteful number, since it uses less digits than its factorization.

996973347968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31533869 (or 31533857 counting only the distinct ones).

The product of its digits is 3333197952, while the sum is 80.

The spelling of 996973347968 in words is "nine hundred ninety-six billion, nine hundred seventy-three million, three hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 304 416 494 608 832 988 1216 1664 1976 2432 3952 7904 15808 31616 31533823 63067646 126135292 252270584 409939699 504541168 599142637 819879398 1009082336 1198285274 1639758796 2018164672 2396570548 3279517592 4036329344 4793141096 6559035184 7788854281 9586282192 13118070368 15577708562 19172564384 26236140736 31155417124 38345128768 52472281472 62310834248 76690257536 124621668496 249243336992 498486673984 996973347968