Search a number
-
+
21367116306045 = 3253171553964501
BaseRepresentation
bin1001101101110111010110…
…11000001001011001111101
32210122200021001222120022200
410312323223120021121331
510300034323233243140
6113235530121102113
74333503026625036
oct466735330113175
983580231876280
1021367116306045
11689881a12a354
122491110027939
13bbcbab273a23
1453c26144da8d
15270c1b14e030
hex136eeb60967d

21367116306045 has 48 divisors (see below), whose sum is σ = 37177130822832. Its totient is φ = 11352519936000.

The previous prime is 21367116306037. The next prime is 21367116306097. The reversal of 21367116306045 is 54060361176312.

21367116306045 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 7 + 1 + 1 + 6 + 30 + 604 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3849526404441 + 17517589901604 = 1962021^2 + 4185402^2 .

It is not a de Polignac number, because 21367116306045 - 23 = 21367116306037 is a prime.

It is a super-2 number, since 2×213671163060452 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

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, 21671295 + ... + 22635795.

It is an arithmetic number, because the mean of its divisors is an integer number (774523558809).

Almost surely, 221367116306045 is an apocalyptic number.

It is an amenable number.

21367116306045 is a deficient number, since it is larger than the sum of its proper divisors (15810014516787).

21367116306045 is a wasteful number, since it uses less digits than its factorization.

21367116306045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966382 (or 966379 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 21367116306045 in words is "twenty-one trillion, three hundred sixty-seven billion, one hundred sixteen million, three hundred six thousand, forty-five".

Divisors: 1 3 5 9 15 45 317 951 1553 1585 2853 4659 4755 7765 13977 14265 23295 69885 492301 964501 1476903 2461505 2893503 4430709 4822505 7384515 8680509 14467515 22153545 43402545 305746817 917240451 1497870053 1528734085 2751721353 4493610159 4586202255 7489350265 13480830477 13758606765 22468050795 67404152385 474824806801 1424474420403 2374124034005 4273423261209 7122372102015 21367116306045