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58660351568 = 2472132442733
BaseRepresentation
bin110110101000011011…
…011110111001010000
312121102010210121120122
4312220123132321100
51430114022222233
642540450525412
74144441522100
oct665033367120
9177363717518
1058660351568
112297226a3a5
12b451296868
1356bb04c700
142ba69b1200
1517d4d2ed98
hexda86dee50

58660351568 has 90 divisors (see below), whose sum is σ = 143162908974. Its totient is φ = 23206240512.

The previous prime is 58660351553. The next prime is 58660351577. The reversal of 58660351568 is 86515306685.

It can be written as a sum of positive squares in 3 ways, for example, as 4923548224 + 53736803344 = 70168^2 + 231812^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 88871 + ... + 353862.

Almost surely, 258660351568 is an apocalyptic number.

It is an amenable number.

58660351568 is an abundant number, since it is smaller than the sum of its proper divisors (84502557406).

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

58660351568 is a wasteful number, since it uses less digits than its factorization.

58660351568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442781 (or 442755 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 53.

The spelling of 58660351568 in words is "fifty-eight billion, six hundred sixty million, three hundred fifty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 4732 5096 8281 9464 10192 16562 18928 33124 66248 132496 442733 885466 1770932 3099131 3541864 5755529 6198262 7083728 11511058 12396524 21693917 23022116 24793048 40288703 43387834 46044232 49586096 74821877 80577406 86775668 92088464 149643754 161154812 173551336 282020921 299287508 322309624 347102672 523753139 564041842 598575016 644619248 1047506278 1128083684 1197150032 2095012556 2256167368 3666271973 4190025112 4512334736 7332543946 8380050224 14665087892 29330175784 58660351568