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5343376066560 = 21135574761107
BaseRepresentation
bin100110111000001101000…
…0010000100100000000000
3200220211012001202122100000
41031300122002010200000
51200021213233112220
615210414005200000
71061021561112120
oct115603202044000
920824161678300
105343376066560
111780127540654
127236b9a00000
132c9b5553b63c
141468995d2c80
1593ed7e93390
hex4dc1a084800

5343376066560 has 2304 divisors, whose sum is σ = 22996048158720. Its totient is φ = 1164772638720.

The previous prime is 5343376066493. The next prime is 5343376066573. The reversal of 5343376066560 is 656606733435.

5343376066560 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 3 + 76 + 0 + 6 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5343376066497 and 5343376066506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49938094027 + ... + 49938094133.

It is an arithmetic number, because the mean of its divisors is an integer number (9980923680).

Almost surely, 25343376066560 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 5343376066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498024079360).

5343376066560 is an abundant number, since it is smaller than the sum of its proper divisors (17652672092160).

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

5343376066560 is a wasteful number, since it uses less digits than its factorization.

5343376066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 5343376066560 in words is "five trillion, three hundred forty-three billion, three hundred seventy-six million, sixty-six thousand, five hundred sixty".