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85627320792 = 233138912792411
BaseRepresentation
bin100111110111111001…
…0010011100111011000
322012000111220120220120
41033233302103213120
52400331043231132
6103200414353240
76120632134446
oct1175762234730
9265014816816
1085627320792
1133350432522
12147184bb820
1380c7c36930
144204295b96
15236253d02c
hex13efc939d8

85627320792 has 128 divisors (see below), whose sum is σ = 233404416000. Its totient is φ = 26019671040.

The previous prime is 85627320749. The next prime is 85627320803. The reversal of 85627320792 is 29702372658.

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, 35514067 + ... + 35516477.

It is an arithmetic number, because the mean of its divisors is an integer number (1823472000).

Almost surely, 285627320792 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 85627320792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116702208000).

85627320792 is an abundant number, since it is smaller than the sum of its proper divisors (147777095208).

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

85627320792 is a wasteful number, since it uses less digits than its factorization.

85627320792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 85627320792 in words is "eighty-five billion, six hundred twenty-seven million, three hundred twenty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 178 267 312 356 534 712 1068 1157 1279 2136 2314 2411 2558 3471 3837 4628 4822 5116 6942 7233 7674 9256 9644 10232 13884 14466 15348 16627 19288 27768 28932 30696 31343 33254 49881 57864 62686 66508 94029 99762 113831 125372 133016 188058 199524 214579 227662 250744 341493 376116 399048 429158 455324 643737 682986 752232 858316 910648 1287474 1365972 1479803 1716632 2574948 2731944 2789527 2959606 3083669 4439409 5149896 5579054 5919212 6167338 8368581 8878818 9251007 11158108 11838424 12334676 16737162 17757636 18502014 22316216 24669352 33474324 35515272 37004028 40087697 66948648 74008056 80175394 120263091 160350788 240526182 274446541 320701576 481052364 548893082 823339623 962104728 1097786164 1646679246 2195572328 3293358492 3567805033 6586716984 7135610066 10703415099 14271220132 21406830198 28542440264 42813660396 85627320792