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1330411061556 = 223236955862821
BaseRepresentation
bin10011010111000010101…
…011011100000100110100
311201012000122010110001100
4103113002223130010310
5133244140212432211
62455103222130100
7165055553302413
oct23270253340464
94635018113040
101330411061556
114732513a6915
12195a13b80930
13985c36a4915
144856c43747a
1524918b9a156
hex135c2adc134

1330411061556 has 18 divisors (see below), whose sum is σ = 3362983516802. Its totient is φ = 443470353840.

The previous prime is 1330411061543. The next prime is 1330411061563. The reversal of 1330411061556 is 6551601140331.

1330411061556 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 41 + 1 + 0 + 61 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1330063984656 + 347076900 = 1153284^2 + 18630^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×13304110615562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 36955862821 = 1330411061556 / (1 + 3 + 3 + 0 + 4 + 1 + 1 + 0 + 6 + 1 + 5 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 1330411061556.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18477931375 + ... + 18477931446.

Almost surely, 21330411061556 is an apocalyptic number.

It is an amenable number.

1330411061556 is an abundant number, since it is smaller than the sum of its proper divisors (2032572455246).

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

1330411061556 is a wasteful number, since it uses less digits than its factorization.

1330411061556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36955862831 (or 36955862826 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1330411061556 in words is "one trillion, three hundred thirty billion, four hundred eleven million, sixty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 36955862821 73911725642 110867588463 147823451284 221735176926 332602765389 443470353852 665205530778 1330411061556