Search a number
-
+
5980400025615 = 335195087458333
BaseRepresentation
bin101011100000110101110…
…0111101000000000001111
3210011201110100201200122000
41113001223213220000033
51240440324401304430
620415205143323343
71155032613323541
oct127015347500017
923151410650560
105980400025615
1119a63009a6614
1280705ba50553
13344c45805312
1416964aab7691
15a586d3d7e60
hex5706b9e800f

5980400025615 has 64 divisors (see below), whose sum is σ = 11193616281600. Its totient is φ = 3021075211392.

The previous prime is 5980400025599. The next prime is 5980400025643. The reversal of 5980400025615 is 5165200040895.

5980400025615 is a `hidden beast` number, since 5 + 9 + 8 + 0 + 4 + 0 + 0 + 0 + 25 + 615 = 666.

It is not a de Polignac number, because 5980400025615 - 24 = 5980400025599 is a prime.

It is a super-2 number, since 2×59804000256152 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 12818989 + ... + 13277321.

It is an arithmetic number, because the mean of its divisors is an integer number (174900254400).

Almost surely, 25980400025615 is an apocalyptic number.

5980400025615 is a deficient number, since it is larger than the sum of its proper divisors (5213216255985).

5980400025615 is a wasteful number, since it uses less digits than its factorization.

5980400025615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463453 (or 463447 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 5980400025615 in words is "five trillion, nine hundred eighty billion, four hundred million, twenty-five thousand, six hundred fifteen".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 5087 15261 25435 45783 76305 96653 137349 228915 289959 458333 483265 686745 869877 1374999 1449795 2291665 2609631 4124997 4349385 6874995 8708327 12374991 13048155 20624985 26124981 43541635 61874955 78374943 130624905 235124829 391874715 1175624145 2331539971 6994619913 11657699855 20983859739 34973099565 44299259449 62951579217 104919298695 132897778347 221496297245 314757896085 398693335041 664488891735 1196080005123 1993466675205 5980400025615