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6898044561408 = 211357111361227
BaseRepresentation
bin110010001100001001101…
…1111101110100000000000
3220102110001120211001200000
41210120103133232200000
51401004143401431113
622400530134400000
71311236655223440
oct144302337564000
926373046731600
106898044561408
11221a4983612a0
12934a79200000
133b0637974640
1419bc1d5da120
15be6799a5373
hex646137ee800

6898044561408 has 2304 divisors, whose sum is σ = 28319207454720. Its totient is φ = 1619597721600.

The previous prime is 6898044561349. The next prime is 6898044561509. The reversal of 6898044561408 is 8041654408986.

6898044561408 is a `hidden beast` number, since 6 + 8 + 9 + 8 + 0 + 4 + 4 + 5 + 614 + 0 + 8 = 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 (63).

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, 30387861391 + ... + 30387861617.

It is an arithmetic number, because the mean of its divisors is an integer number (12291322680).

Almost surely, 26898044561408 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 6898044561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159603727360).

6898044561408 is an abundant number, since it is smaller than the sum of its proper divisors (21421162893312).

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

6898044561408 is a wasteful number, since it uses less digits than its factorization.

6898044561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 6898044561408 in words is "six trillion, eight hundred ninety-eight billion, forty-four million, five hundred sixty-one thousand, four hundred eight".