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65528226232 = 23729139331877
BaseRepresentation
bin111101000001110010…
…010110000110111000
320021010202220210110221
4331001302112012320
52033200211214412
650034145145424
74506564506230
oct750162260670
9207122823427
1065528226232
1125876a80277
121084932b274
136243b74681
143258b76cc0
151a87c4ab07
hexf41c961b8

65528226232 has 128 divisors (see below), whose sum is σ = 146913984000. Its totient is φ = 26808122880.

The previous prime is 65528226193. The next prime is 65528226233. The reversal of 65528226232 is 23262282556.

It is a super-2 number, since 2×655282262322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65528226233) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 74718178 + ... + 74719054.

It is an arithmetic number, because the mean of its divisors is an integer number (1147765500).

Almost surely, 265528226232 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 65528226232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73456992000).

65528226232 is an abundant number, since it is smaller than the sum of its proper divisors (81385757768).

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

65528226232 is a wasteful number, since it uses less digits than its factorization.

65528226232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1385 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 65528226232 in words is "sixty-five billion, five hundred twenty-eight million, two hundred twenty-six thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 139 203 232 278 331 406 556 662 812 877 973 1112 1324 1624 1754 1946 2317 2648 3508 3892 4031 4634 6139 7016 7784 8062 9268 9599 12278 16124 18536 19198 24556 25433 28217 32248 38396 46009 49112 50866 56434 67193 76792 92018 101732 112868 121903 134386 178031 184036 203464 225736 243806 268772 290287 322063 356062 368072 487612 537544 580574 644126 712124 853321 975224 1161148 1288252 1334261 1424248 1706642 2032009 2322296 2576504 2668522 3413284 3535187 4064018 5337044 6826568 7070374 8128036 8418323 9339827 10674088 14140748 16256072 16836646 18679654 24746309 28281496 33673292 37359308 40349893 49492618 58928261 67346584 74718616 80699786 98985236 117856522 161399572 197970472 235713044 282449251 322799144 471426088 564898502 1129797004 1170146897 2259594008 2340293794 4680587588 8191028279 9361175176 16382056558 32764113116 65528226232