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58239380880 = 2432580888029
BaseRepresentation
bin110110001111010101…
…100110110110010000
312120022210200002100200
4312033111212312100
51423233240142010
642431012015200
74131140366232
oct661725466620
9176283602320
1058239380880
112277668093a
12b354301500
135651a77c25
142b66b0c252
1517acdc7cc0
hexd8f566d90

58239380880 has 60 divisors (see below), whose sum is σ = 195587256540. Its totient is φ = 15530501376.

The previous prime is 58239380813. The next prime is 58239380893. The reversal of 58239380880 is 8808393285.

It can be written as a sum of positive squares in 2 ways, for example, as 23714768016 + 34524612864 = 153996^2 + 185808^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40443295 + ... + 40444734.

It is an arithmetic number, because the mean of its divisors is an integer number (3259787609).

Almost surely, 258239380880 is an apocalyptic number.

It is an amenable number.

58239380880 is an abundant number, since it is smaller than the sum of its proper divisors (137347875660).

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

58239380880 is a wasteful number, since it uses less digits than its factorization.

58239380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80888048 (or 80888039 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 58239380880 in words is "fifty-eight billion, two hundred thirty-nine million, three hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 80888029 161776058 242664087 323552116 404440145 485328174 647104232 727992261 808880290 970656348 1213320435 1294208464 1455984522 1617760580 1941312696 2426640870 2911969044 3235521160 3639961305 3882625392 4853281740 5823938088 6471042320 7279922610 9706563480 11647876176 14559845220 19413126960 29119690440 58239380880