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58614111332 = 22719809136189
BaseRepresentation
bin110110100101101011…
…000101110001100100
312121021220210100220022
4312211223011301210
51430020203030312
642532115454312
74143340503650
oct664553056144
9177256710808
1058614111332
1122949157427
12b4398b7398
1356b15ac71a
142ba07b5a60
1517d0c49172
hexda5ac5c64

58614111332 has 48 divisors (see below), whose sum is σ = 123551568000. Its totient is φ = 23768619264.

The previous prime is 58614111293. The next prime is 58614111341. The reversal of 58614111332 is 23311141685.

It is a happy number.

58614111332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×586141113322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58614111292 and 58614111301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362294 + ... + 498482.

It is an arithmetic number, because the mean of its divisors is an integer number (2573991000).

Almost surely, 258614111332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58614111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61775784000).

58614111332 is an abundant number, since it is smaller than the sum of its proper divisors (64937456668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58614111332 is a wasteful number, since it uses less digits than its factorization.

58614111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137028 (or 137026 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The spelling of 58614111332 in words is "fifty-eight billion, six hundred fourteen million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 809 1618 3236 5663 11326 15371 22652 30742 61484 107597 136189 215194 272378 430388 544756 953323 1906646 2587591 3813292 5175182 10350364 18113137 36226274 72452548 110176901 220353802 440707604 771238307 1542476614 2093361119 3084953228 4186722238 8373444476 14653527833 29307055666 58614111332