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58750090399 = 711132191271871
BaseRepresentation
bin110110101101110001…
…110011110010011111
312121122101122211010001
4312231301303302133
51430310010343044
642553414155131
74146611346250
oct665561636237
9177571584101
1058750090399
1122a08992520
12b477352aa7
13570380c800
142bb4890b27
1517dcb592d4
hexdadc73c9f

58750090399 has 96 divisors (see below), whose sum is σ = 84191477760. Its totient is φ = 39697257600.

The previous prime is 58750090393. The next prime is 58750090409. The reversal of 58750090399 is 99309005785.

It is not a de Polignac number, because 58750090399 - 23 = 58750090391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58750090391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31399434 + ... + 31401304.

It is an arithmetic number, because the mean of its divisors is an integer number (876994560).

Almost surely, 258750090399 is an apocalyptic number.

58750090399 is a deficient number, since it is larger than the sum of its proper divisors (25441387361).

58750090399 is a wasteful number, since it uses less digits than its factorization.

58750090399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 55.

The spelling of 58750090399 in words is "fifty-eight billion, seven hundred fifty million, ninety thousand, three hundred ninety-nine".

Divisors: 1 7 11 13 19 77 91 127 133 143 169 209 247 889 1001 1183 1397 1463 1651 1729 1859 1871 2413 2717 3211 9779 11557 13013 13097 16891 18161 19019 20581 21463 22477 24323 26543 31369 35321 35549 127127 144067 150241 170261 185801 219583 236093 237617 247247 248843 267553 316199 345059 391039 407797 462137 1652651 1663319 1872871 2213393 2415413 2613787 2737273 2854579 3089021 3234959 3478189 4485767 4514723 5083507 6007781 18296509 21623147 24347323 31400369 31603061 33979231 35584549 40157273 42054467 49661953 58691399 66085591 237854617 281100911 347633671 410839793 441730003 462599137 645605389 762988187 3092110021 4519237723 5340917309 8392870057 58750090399