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6880216781160 = 23325197216144893
BaseRepresentation
bin110010000011110110011…
…1000001001000101101000
3220100202001010200222201200
41210013230320021011220
51400211140443444120
622344421123244200
71310036120463642
oct144075470110550
926322033628650
106880216781160
11221297a008108
12931522819660
133aba56322848
1419b00b9dd892
15bde847b9e90
hex641ece09168

6880216781160 has 192 divisors, whose sum is σ = 22485111414480. Its totient is φ = 1824525803520.

The previous prime is 6880216781153. The next prime is 6880216781329. The reversal of 6880216781160 is 611876120886.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5550858512676 + 1329358268484 = 2356026^2 + 1152978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6880216781097 and 6880216781106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153235674 + ... + 153280566.

Almost surely, 26880216781160 is an apocalyptic number.

6880216781160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6880216781160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11242555707240).

6880216781160 is an abundant number, since it is smaller than the sum of its proper divisors (15604894633320).

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

6880216781160 is a wasteful number, since it uses less digits than its factorization.

6880216781160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47268 (or 47261 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 6880216781160 in words is "six trillion, eight hundred eighty billion, two hundred sixteen million, seven hundred eighty-one thousand, one hundred sixty".