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85943263232 = 213412792
BaseRepresentation
bin101000000001010011…
…1100010000000000000
322012211112102010110102
41100002213202000000
52402002433410412
6103252022221532
76131516453441
oct1200247420000
9265745363412
1085943263232
11334a2805782
12147a62848a8
138148527018
1442342192c8
15238014a8c2
hex14029e2000

85943263232 has 126 divisors (see below), whose sum is σ = 178428612789. Its totient is φ = 41392865280.

The previous prime is 85943263181. The next prime is 85943263277. The reversal of 85943263232 is 23236234958.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 61377089536 + 24566173696 = 247744^2 + 156736^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=207296.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1087889369 + ... + 1087889447.

Almost surely, 285943263232 is an apocalyptic number.

85943263232 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85943263232

85943263232 is an abundant number, since it is smaller than the sum of its proper divisors (92485349557).

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

85943263232 is an frugal number, since it uses more digits than its factorization.

85943263232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 122 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 47.

The spelling of 85943263232 in words is "eighty-five billion, nine hundred forty-three million, two hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 79 82 128 158 164 256 316 328 512 632 656 1024 1264 1312 1681 2048 2528 2624 3239 3362 4096 5056 5248 6241 6478 6724 8192 10112 10496 12482 12956 13448 20224 20992 24964 25912 26896 40448 41984 49928 51824 53792 80896 83968 99856 103648 107584 132799 161792 167936 199712 207296 215168 255881 265598 323584 335872 399424 414592 430336 511762 531196 647168 798848 829184 860672 1023524 1062392 1597696 1658368 1721344 2047048 2124784 3195392 3316736 3442688 4094096 4249568 6390784 6633472 6885376 8188192 8499136 10491121 12781568 13266944 13770752 16376384 16998272 20982242 25563136 26533888 32752768 33996544 41964484 51126272 65505536 67993088 83928968 131011072 135986176 167857936 262022144 271972352 335715872 524044288 543944704 671431744 1048088576 1087889408 1342863488 2096177152 2685726976 5371453952 10742907904 21485815808 42971631616 85943263232