Search a number
-
+
59080890428469 = 3271372137839351
BaseRepresentation
bin11010110111011110101110…
…11111001010110000110101
321202012002002211120121201100
431123233113133022300311
530220440130422202334
6325353215242320313
715305311353453360
oct1533572737126065
9252162084517640
1059080890428469
1117909079458398
1267623327b9099
1326c73c503c610
14108375d4130d7
156c6c69a95c99
hex35bbd77cac35

59080890428469 has 24 divisors (see below), whose sum is σ = 105032694096512. Its totient is φ = 31163546599200.

The previous prime is 59080890428459. The next prime is 59080890428479. The reversal of 59080890428469 is 96482409808095.

59080890428469 is a `hidden beast` number, since 5 + 9 + 0 + 80 + 89 + 0 + 4 + 2 + 8 + 469 = 666.

It is an interprime number because it is at equal distance from previous prime (59080890428459) and next prime (59080890428479).

It is not a de Polignac number, because 59080890428469 - 27 = 59080890428341 is a prime.

It is a super-2 number, since 2×590808904284692 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59080890428397 and 59080890428406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59080890428459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36068918857 + ... + 36068920494.

Almost surely, 259080890428469 is an apocalyptic number.

It is an amenable number.

59080890428469 is a deficient number, since it is larger than the sum of its proper divisors (45951803668043).

59080890428469 is a wasteful number, since it uses less digits than its factorization.

59080890428469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72137839377 (or 72137839374 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 59080890428469 in words is "fifty-nine trillion, eighty billion, eight hundred ninety million, four hundred twenty-eight thousand, four hundred sixty-nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 72137839351 216413518053 504964875457 649240554159 937791911563 1514894626371 2813375734689 4544683879113 6564543380941 8440127204067 19693630142823 59080890428469