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58676312340 = 22325325979513
BaseRepresentation
bin110110101001011000…
…010111100100010100
312121110020211111122100
4312221120113210110
51430132113443330
642542221002100
74145024266002
oct665130274424
9177406744570
1058676312340
1122980280a18
12b4566b3330
1356c144a459
142ba8b67a72
1517d6434060
hexda9617914

58676312340 has 36 divisors (see below), whose sum is σ = 177984814644. Its totient is φ = 15647016576.

The previous prime is 58676312333. The next prime is 58676312351. The reversal of 58676312340 is 4321367685.

58676312340 is a `hidden beast` number, since 5 + 8 + 6 + 7 + 631 + 2 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13529411856 + 45146900484 = 116316^2 + 212478^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162989577 + ... + 162989936.

It is an arithmetic number, because the mean of its divisors is an integer number (4944022629).

Almost surely, 258676312340 is an apocalyptic number.

It is an amenable number.

58676312340 is an abundant number, since it is smaller than the sum of its proper divisors (119308502304).

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

58676312340 is a wasteful number, since it uses less digits than its factorization.

58676312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325979528 (or 325979523 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 58676312340 in words is "fifty-eight billion, six hundred seventy-six million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 325979513 651959026 977938539 1303918052 1629897565 1955877078 2933815617 3259795130 3911754156 4889692695 5867631234 6519590260 9779385390 11735262468 14669078085 19558770780 29338156170 58676312340