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6608817348672 = 2637111051425333
BaseRepresentation
bin110000000101011110000…
…1101011110000001000000
3212101210111211210022212210
41200022330031132001000
51331234324220124142
622020014311422120
71251320440410120
oct140127415360100
925353454708783
106608817348672
112118869113570
128a89bb684940
1338c293978986
1418bc23100c80
15b6d9ce5349c
hex602bc35e040

6608817348672 has 224 divisors, whose sum is σ = 21821308314624. Its totient is φ = 1714938624000.

The previous prime is 6608817348647. The next prime is 6608817348691. The reversal of 6608817348672 is 2768437188066.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15325318 + ... + 15750650.

It is an arithmetic number, because the mean of its divisors is an integer number (97416554976).

Almost surely, 26608817348672 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 6608817348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910654157312).

6608817348672 is an abundant number, since it is smaller than the sum of its proper divisors (15212490965952).

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

6608817348672 is a wasteful number, since it uses less digits than its factorization.

6608817348672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426417 (or 426407 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 6608817348672 in words is "six trillion, six hundred eight billion, eight hundred seventeen million, three hundred forty-eight thousand, six hundred seventy-two".