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58712352270 = 235111357723719
BaseRepresentation
bin110110101011100001…
…110110011000001110
312121112202122112010120
4312223201312120032
51430220330233040
642545545245410
74145642521455
oct665341663016
9177482575116
1058712352270
1122999657290
12b466793866
1356c8a58660
142bad869b9c
1517d96a27d0
hexdab87660e

58712352270 has 128 divisors (see below), whose sum is σ = 165838095360. Its totient is φ = 13115105280.

The previous prime is 58712352253. The next prime is 58712352289. The reversal of 58712352270 is 7225321785.

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 63 ways as a sum of consecutive naturals, for example, 2463471 + ... + 2487189.

It is an arithmetic number, because the mean of its divisors is an integer number (1295610120).

Almost surely, 258712352270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58712352270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82919047680).

58712352270 is an abundant number, since it is smaller than the sum of its proper divisors (107125743090).

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

58712352270 is a wasteful number, since it uses less digits than its factorization.

58712352270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24330.

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 58712352270 in words is "fifty-eight billion, seven hundred twelve million, three hundred fifty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 577 715 858 1154 1430 1731 2145 2885 3462 4290 5770 6347 7501 8655 12694 15002 17310 19041 22503 23719 31735 37505 38082 45006 47438 63470 71157 75010 82511 95205 112515 118595 142314 165022 190410 225030 237190 247533 260909 308347 355785 412555 495066 521818 616694 711570 782727 825110 925041 1237665 1304545 1541735 1565454 1850082 2475330 2609090 3083470 3391817 3913635 4625205 6783634 7827270 9250410 10175451 13685863 16959085 20350902 27371726 33918170 41057589 50877255 68429315 82115178 101754510 136858630 150544493 177916219 205287945 301088986 355832438 410575890 451633479 533748657 752722465 889581095 903266958 1067497314 1505444930 1779162190 1957078409 2258167395 2668743285 3914156818 4516334790 5337486570 5871235227 9785392045 11742470454 19570784090 29356176135 58712352270