Search a number
-
+
58245763345 = 5711266120807
BaseRepresentation
bin110110001111101101…
…111101000100010001
312120100020200100110021
4312033231331010101
51423241403411340
642431400503441
74131245551060
oct661755750421
9176306610407
1058245763345
112277a240100
12b35647ab81
1356531a1033
142b678d01d7
1517ad738e4a
hexd8fb7d111

58245763345 has 48 divisors (see below), whose sum is σ = 87938936064. Its totient is φ = 36252374400.

The previous prime is 58245763343. The next prime is 58245763379. The reversal of 58245763345 is 54336754285.

It is not a de Polignac number, because 58245763345 - 21 = 58245763343 is a prime.

It is a super-3 number, since 3×582457633453 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58245763292 and 58245763301.

It is not an unprimeable number, because it can be changed into a prime (58245763343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2788932 + ... + 2809738.

It is an arithmetic number, because the mean of its divisors is an integer number (1832061168).

Almost surely, 258245763345 is an apocalyptic number.

58245763345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58245763345 is a deficient number, since it is larger than the sum of its proper divisors (29693172719).

58245763345 is a wasteful number, since it uses less digits than its factorization.

58245763345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21502 (or 21491 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 52.

The spelling of 58245763345 in words is "fifty-eight billion, two hundred forty-five million, seven hundred sixty-three thousand, three hundred forty-five".

Divisors: 1 5 7 11 35 55 77 121 385 605 661 847 3305 4235 4627 7271 20807 23135 36355 50897 79981 104035 145649 228877 254485 399905 559867 728245 1144385 1602139 2517647 2799335 8010695 12588235 13753427 17623529 68767135 88117645 96273989 151287697 481369945 756438485 1059013879 1664164667 5295069395 8320823335 11649152669 58245763345