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58553060560 = 24517731394243
BaseRepresentation
bin110110100010000010…
…001100110011010000
312121010122220122222121
4312202002030303100
51424404040414220
642522055144024
74141666542241
oct664202146320
9177118818877
1058553060560
1122917749045
12b421375014
1356a1a553c7
142b96642cc8
1517ca6d9eaa
hexda208ccd0

58553060560 has 160 divisors (see below), whose sum is σ = 147204328320. Its totient is φ = 21580038144.

The previous prime is 58553060519. The next prime is 58553060591. The reversal of 58553060560 is 6506035585.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13797799 + ... + 13802041.

It is an arithmetic number, because the mean of its divisors is an integer number (920027052).

Almost surely, 258553060560 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 58553060560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73602164160).

58553060560 is an abundant number, since it is smaller than the sum of its proper divisors (88651267760).

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

58553060560 is a wasteful number, since it uses less digits than its factorization.

58553060560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 43.

The spelling of 58553060560 in words is "fifty-eight billion, five hundred fifty-three million, sixty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 73 80 85 136 139 146 170 272 278 292 340 365 556 584 680 695 730 1112 1168 1241 1360 1390 1460 2224 2363 2482 2780 2920 4243 4726 4964 5560 5840 6205 8486 9452 9928 10147 11120 11815 12410 16972 18904 19856 20294 21215 23630 24820 33944 37808 40588 42430 47260 49640 50735 67888 72131 81176 84860 94520 99280 101470 144262 162352 169720 172499 189040 202940 288524 309739 339440 344998 360655 405880 577048 589777 619478 689996 721310 811760 862495 1154096 1179554 1238956 1379992 1442620 1548695 1724990 2359108 2477912 2759984 2885240 2948885 3097390 3449980 4718216 4955824 5265563 5770480 5897770 6194780 6899960 9436432 10026209 10531126 11795540 12389560 13799920 20052418 21062252 23591080 24779120 26327815 40104836 42124504 43053721 47182160 50131045 52655630 80209672 84249008 86107442 100262090 105311260 160419344 172214884 200524180 210622520 215268605 344429768 401048360 421245040 430537210 688859536 731913257 802096720 861074420 1463826514 1722148840 2927653028 3444297680 3659566285 5855306056 7319132570 11710612112 14638265140 29276530280 58553060560