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58607329957 = 1137399714327
BaseRepresentation
bin110110100101010001…
…001110001010100101
312121021110000211121021
4312211101032022211
51430011434024312
642531314251141
74143226041121
oct664521161245
9177243024537
1058607329957
1122945345490
12b437586ab1
1356b0076b87
142b9d92c581
1517d0359c07
hexda544e2a5

58607329957 has 16 divisors (see below), whose sum is σ = 64175455872. Its totient is φ = 53079549120.

The previous prime is 58607329933. The next prime is 58607329999. The reversal of 58607329957 is 75992370685.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58607329957 is a prime.

It is a super-3 number, since 3×586073299573 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58607329895 and 58607329904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58607329927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4083528 + ... + 4097854.

It is an arithmetic number, because the mean of its divisors is an integer number (4010965992).

Almost surely, 258607329957 is an apocalyptic number.

It is an amenable number.

58607329957 is a deficient number, since it is larger than the sum of its proper divisors (5568125915).

58607329957 is a wasteful number, since it uses less digits than its factorization.

58607329957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15708.

The product of its (nonzero) digits is 28576800, while the sum is 61.

The spelling of 58607329957 in words is "fifty-eight billion, six hundred seven million, three hundred twenty-nine thousand, nine hundred fifty-seven".

Divisors: 1 11 373 997 4103 10967 14327 157597 371881 4090691 5343971 14284019 58783681 157124209 5327939087 58607329957