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86129823528 = 23337232476703
BaseRepresentation
bin101000000110110111…
…1001100111100101000
322020022112110101002000
41100031233030330220
52402343213323103
6103322325011000
76136243264140
oct1201557147450
9266275411060
1086129823528
1133589049241
1214838853a60
138178086c28
144250cdd920
1523916ecaa3
hex140dbccf28

86129823528 has 128 divisors (see below), whose sum is σ = 285316300800. Its totient is φ = 23538575808.

The previous prime is 86129823473. The next prime is 86129823541. The reversal of 86129823528 is 82532892168.

It is a happy number.

86129823528 is a `hidden beast` number, since 8 + 6 + 1 + 2 + 98 + 23 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1203576 + ... + 1273127.

It is an arithmetic number, because the mean of its divisors is an integer number (2229033600).

Almost surely, 286129823528 is an apocalyptic number.

It is an amenable number.

86129823528 is an abundant number, since it is smaller than the sum of its proper divisors (199186477272).

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

86129823528 is a wasteful number, since it uses less digits than its factorization.

86129823528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476748 (or 2476738 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 86129823528 in words is "eighty-six billion, one hundred twenty-nine million, eight hundred twenty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1656 1932 2484 2898 3864 4347 4968 5796 8694 11592 17388 34776 2476703 4953406 7430109 9906812 14860218 17336921 19813624 22290327 29720436 34673842 44580654 52010763 56964169 59440872 66870981 69347684 89161308 104021526 113928338 133741962 138695368 156032289 170892507 178322616 208043052 227856676 267483924 312064578 341785014 398749183 416086104 455713352 468096867 512677521 534967848 624129156 683570028 797498366 936193734 1025355042 1196247549 1248258312 1367140056 1538032563 1594996732 1872387468 2050710084 2392495098 3076065126 3189993464 3588742647 3744774936 4101420168 4784990196 6152130252 7177485294 9569980392 10766227941 12304260504 14354970588 21532455882 28709941176 43064911764 86129823528