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58105417090 = 2574717661221
BaseRepresentation
bin110110000111010110…
…100100110110000010
312112222110121000120211
4312013112210312002
51422444441321330
642405424424334
74124622616240
oct660726446602
9175873530524
1058105417090
1122707aa1966
12b3174780aa
1356300a2206
142b52dd9790
1517a1264d2a
hexd875a4d82

58105417090 has 32 divisors (see below), whose sum is σ = 122074366464. Its totient is φ = 19497986880.

The previous prime is 58105417061. The next prime is 58105417091. The reversal of 58105417090 is 9071450185.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (58105417091) 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, 8827321 + ... + 8833900.

It is an arithmetic number, because the mean of its divisors is an integer number (3814823952).

Almost surely, 258105417090 is an apocalyptic number.

58105417090 is an abundant number, since it is smaller than the sum of its proper divisors (63968949374).

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

58105417090 is a wasteful number, since it uses less digits than its factorization.

58105417090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17661282.

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 58105417090 in words is "fifty-eight billion, one hundred five million, four hundred seventeen thousand, ninety".

Divisors: 1 2 5 7 10 14 35 47 70 94 235 329 470 658 1645 3290 17661221 35322442 88306105 123628547 176612210 247257094 618142735 830077387 1236285470 1660154774 4150386935 5810541709 8300773870 11621083418 29052708545 58105417090