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58964847328 = 254159977853
BaseRepresentation
bin110110111010100101…
…000010101011100000
312122012100202121020101
4312322211002223200
51431230000103303
643031005152144
74155126634612
oct667245025340
9178170677211
1058964847328
1123009134592
12b51725b654
13573916290a
142bd51d4db2
15180192ad1d
hexdba942ae0

58964847328 has 96 divisors (see below), whose sum is σ = 122196301920. Its totient is φ = 27980759040.

The previous prime is 58964847311. The next prime is 58964847373. The reversal of 58964847328 is 82374846985.

It is a self number, because there is not a number n which added to its sum of digits gives 58964847328.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7504650 + ... + 7512502.

It is an arithmetic number, because the mean of its divisors is an integer number (1272878145).

Almost surely, 258964847328 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 58964847328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61098150960).

58964847328 is an abundant number, since it is smaller than the sum of its proper divisors (63231454592).

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

58964847328 is a wasteful number, since it uses less digits than its factorization.

58964847328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060 (or 8052 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 64.

The spelling of 58964847328 in words is "fifty-eight billion, nine hundred sixty-four million, eight hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 59 82 97 118 164 194 236 328 388 472 656 776 944 1312 1552 1888 2419 3104 3977 4838 5723 7853 7954 9676 11446 15706 15908 19352 22892 31412 31816 38704 45784 62824 63632 77408 91568 125648 127264 183136 234643 251296 321973 463327 469286 643946 761741 926654 938572 1287892 1523482 1853308 1877144 2575784 3046964 3706616 3754288 5151568 6093928 7413232 7508576 10303136 12187856 14826464 18996407 24375712 31231381 37992814 44942719 62462762 75985628 89885438 124925524 151971256 179770876 249851048 303942512 359541752 499702096 607885024 719083504 999404192 1438167008 1842651479 3685302958 7370605916 14741211832 29482423664 58964847328