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58500066096 = 24325359129917
BaseRepresentation
bin110110011110111000…
…000010101100110000
312120222222012021020200
4312132320002230300
51424302004103341
642512523235200
74140454233363
oct663670025460
9176888167220
1058500066096
112289a84256a
12b407678b00
135693a8c034
142b8d5aa0da
1517c5c1cdb6
hexd9ee02b30

58500066096 has 120 divisors (see below), whose sum is σ = 169636530960. Its totient is φ = 18807679488.

The previous prime is 58500066073. The next prime is 58500066109. The reversal of 58500066096 is 69066000585.

58500066096 is a `hidden beast` number, since 58 + 500 + 0 + 6 + 6 + 0 + 96 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 385330 + ... + 515246.

It is an arithmetic number, because the mean of its divisors is an integer number (1413637758).

Almost surely, 258500066096 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 58500066096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84818265480).

58500066096 is an abundant number, since it is smaller than the sum of its proper divisors (111136464864).

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

58500066096 is a wasteful number, since it uses less digits than its factorization.

58500066096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130043 (or 130034 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 58500066096 in words is "fifty-eight billion, five hundred million, sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 59 72 106 118 144 159 177 212 236 318 354 424 472 477 531 636 708 848 944 954 1062 1272 1416 1908 2124 2544 2832 3127 3816 4248 6254 7632 8496 9381 12508 18762 25016 28143 37524 50032 56286 75048 112572 129917 150096 225144 259834 389751 450288 519668 779502 1039336 1169253 1559004 2078672 2338506 3118008 4677012 6236016 6885601 7665103 9354024 13771202 15330206 18708048 20656803 22995309 27542404 30660412 41313606 45990618 55084808 61320824 61970409 68985927 82627212 91981236 110169616 122641648 123940818 137971854 165254424 183962472 247881636 275943708 330508848 367924944 406250459 495763272 551887416 812500918 991526544 1103774832 1218751377 1625001836 2437502754 3250003672 3656254131 4875005508 6500007344 7312508262 9750011016 14625016524 19500022032 29250033048 58500066096