Search a number
-
+
37130023220481 = 362256832
BaseRepresentation
bin10000111000101000000011…
…10110000011010100000001
311212110121002011021201000000
420130110001312003110001
514331314241421023411
6210545144105350213
710551361405655112
oct1034240166032401
9155417064251000
1037130023220481
1110915833148404
1241b8069798369
1317944666ac619
14925161bb4209
15445c853c6956
hex21c501d83501

37130023220481 has 21 divisors (see below), whose sum is σ = 55669815095089. Its totient is φ = 24753239131716.

The previous prime is 37130023220443. The next prime is 37130023220581. The reversal of 37130023220481 is 18402232003173.

The square root of 37130023220481 is 6093441.

It is a perfect power (a square), and thus also a powerful number.

37130023220481 is a `hidden beast` number, since 3 + 7 + 130 + 0 + 23 + 2 + 20 + 481 = 666.

It is a de Polignac number, because none of the positive numbers 2k-37130023220481 is a prime.

It is a super-2 number, since 2×371300232204812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37130023220281) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 164410066 + ... + 164635748.

Almost surely, 237130023220481 is an apocalyptic number.

37130023220481 is the 6093441-st square number.

37130023220481 is the 3046721-st centered octagonal number.

It is an amenable number.

37130023220481 is a deficient number, since it is larger than the sum of its proper divisors (18539791874608).

37130023220481 is an frugal number, since it uses more digits than its factorization.

37130023220481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451384 (or 225686 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 37130023220481 in words is "thirty-seven trillion, one hundred thirty billion, twenty-three million, two hundred twenty thousand, four hundred eighty-one".

Divisors: 1 3 9 27 81 243 729 225683 677049 2031147 6093441 18280323 54840969 164522907 50932816489 152798449467 458395348401 1375186045203 4125558135609 12376674406827 37130023220481