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4968608327808 = 27343130021077
BaseRepresentation
bin100100001001101100000…
…1000100110100010000000
3122120222211212010221200120
41020103120020212202000
51122401202212442213
614322314104020240
71021653513644016
oct110233010464200
918528755127616
104968608327808
1116461a1962624
12682b48a61680
132a06cb5a80c8
141326a65968b6
15893a184a423
hex484d8226880

4968608327808 has 64 divisors (see below), whose sum is σ = 13228487809920. Its totient is φ = 1652360023040.

The previous prime is 4968608327803. The next prime is 4968608327827. The reversal of 4968608327808 is 8087238068694.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4968608327803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14845035 + ... + 15176042.

It is an arithmetic number, because the mean of its divisors is an integer number (206695122030).

Almost surely, 24968608327808 is an apocalyptic number.

4968608327808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4968608327808 is an abundant number, since it is smaller than the sum of its proper divisors (8259879482112).

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

4968608327808 is a wasteful number, since it uses less digits than its factorization.

4968608327808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30021525 (or 30021513 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 69.

The spelling of 4968608327808 in words is "four trillion, nine hundred sixty-eight billion, six hundred eight million, three hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 431 862 1293 1724 2586 3448 5172 6896 10344 13792 20688 27584 41376 55168 82752 165504 30021077 60042154 90063231 120084308 180126462 240168616 360252924 480337232 720505848 960674464 1441011696 1921348928 2882023392 3842697856 5764046784 11528093568 12939084187 25878168374 38817252561 51756336748 77634505122 103512673496 155269010244 207025346992 310538020488 414050693984 621076040976 828101387968 1242152081952 1656202775936 2484304163904 4968608327808