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58009141792 = 2571274434603
BaseRepresentation
bin110110000001100111…
…010100001000100000
312112201202102201201001
4312001213110020200
51422300320014132
642352105121344
74122343366240
oct660147241040
9175652381631
1058009141792
11226687148a8
12b2ab189254
135616163b94
142b442d7b20
151797a98ce7
hexd819d4220

58009141792 has 96 divisors (see below), whose sum is σ = 131873882112. Its totient is φ = 24604280064.

The previous prime is 58009141759. The next prime is 58009141807. The reversal of 58009141792 is 29714190085.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12600163 + ... + 12604765.

It is an arithmetic number, because the mean of its divisors is an integer number (1373686272).

Almost surely, 258009141792 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 58009141792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65936941056).

58009141792 is an abundant number, since it is smaller than the sum of its proper divisors (73864740320).

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

58009141792 is a wasteful number, since it uses less digits than its factorization.

58009141792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 58009141792 in words is "fifty-eight billion, nine million, one hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 443 508 886 889 1016 1772 1778 2032 3101 3544 3556 4064 4603 6202 7088 7112 9206 12404 14176 14224 18412 24808 28448 32221 36824 49616 56261 64442 73648 99232 112522 128884 147296 225044 257768 393827 450088 515536 584581 787654 900176 1031072 1169162 1575308 1800352 2039129 2338324 3150616 4078258 4092067 4676648 6301232 8156516 8184134 9353296 12602464 14273903 16313032 16368268 18706592 28547806 32626064 32736536 57095612 65252128 65473072 114191224 130946144 228382448 258969383 456764896 517938766 1035877532 1812785681 2071755064 3625571362 4143510128 7251142724 8287020256 14502285448 29004570896 58009141792