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58942613961 = 327211210512
BaseRepresentation
bin110110111001010000…
…001110100111001001
312122010210221000210100
4312321100032213021
51431203302121321
643024452440013
74154436644400
oct667120164711
9178123830710
1058942613961
1122aa7629300
12b50b919009
135734679a8a
142bd2288637
1517ee9d8326
hexdb940e9c9

58942613961 has 81 divisors (see below), whose sum is σ = 108965420109. Its totient is φ = 30590406000.

The previous prime is 58942613921. The next prime is 58942614019. The reversal of 58942613961 is 16931624985.

The square root of 58942613961 is 242781.

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

58942613961 is a `hidden beast` number, since 5 + 89 + 426 + 139 + 6 + 1 = 666.

58942613961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58942613961 - 27 = 58942613833 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 58942613898 and 58942613907.

It is not an unprimeable number, because it can be changed into a prime (58942613921) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56081886 + ... + 56082936.

Almost surely, 258942613961 is an apocalyptic number.

58942613961 is the 242781-st square number.

58942613961 is the 121391-st centered octagonal number.

It is an amenable number.

58942613961 is a deficient number, since it is larger than the sum of its proper divisors (50022806148).

58942613961 is a wasteful number, since it uses less digits than its factorization.

58942613961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 1072 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 58942613961 in words is "fifty-eight billion, nine hundred forty-two million, six hundred thirteen thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1051 1089 1617 2541 3153 4851 5929 7357 7623 9459 11561 17787 22071 34683 51499 53361 66213 80927 104049 127171 154497 242781 381513 463491 566489 728343 890197 1104601 1144539 1699467 2670591 3313803 5098401 6231379 7732207 8011773 9941409 12150611 18694137 23196621 36451833 54125449 56082411 69589863 85054277 109355499 133656721 162376347 255162831 400970163 487129041 595379939 765488493 935597047 1202910489 1786139817 2806791141 5358419451 6549179329 8420373423 19647537987 58942613961