Search a number
-
+
3315760206444 = 22337191791289599
BaseRepresentation
bin110000010000000010101…
…101011001001001101100
3102201222120000210202002000
4300100002231121021230
5413311134103101234
611015123400332300
7461361425504250
oct60200255311154
912658500722060
103315760206444
11106922a216384
12456749474090
131b08a0836b4a
14b66ab1ca260
155b3b582d899
hex30402b5926c

3315760206444 has 192 divisors, whose sum is σ = 10399334400000. Its totient is φ = 892484350272.

The previous prime is 3315760206433. The next prime is 3315760206461. The reversal of 3315760206444 is 4446020675133.

3315760206444 is a `hidden beast` number, since 3 + 31 + 5 + 7 + 602 + 0 + 6 + 4 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3315760206444.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926357 + ... + 3215955.

It is an arithmetic number, because the mean of its divisors is an integer number (54163200000).

Almost surely, 23315760206444 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 3315760206444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199667200000).

3315760206444 is an abundant number, since it is smaller than the sum of its proper divisors (7083574193556).

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

3315760206444 is a wasteful number, since it uses less digits than its factorization.

3315760206444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289817 (or 1289809 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3315760206444 in words is "three trillion, three hundred fifteen billion, seven hundred sixty million, two hundred six thousand, four hundred forty-four".