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86485904528 = 241931103139641
BaseRepresentation
bin101000010001011110…
…1100010110010010000
322021020100111011101012
41100202331202302100
52404110342421103
6103421525030052
76151126026152
oct1204275426220
9267210434335
1086485904528
1133751047161
1214917b55328
138203a8bc4a
144286310ad2
1523b2ad82d8
hex1422f62c90

86485904528 has 160 divisors (see below), whose sum is σ = 185454796800. Its totient is φ = 38917324800.

The previous prime is 86485904513. The next prime is 86485904569. The reversal of 86485904528 is 82540958468.

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, 134923088 + ... + 134923728.

It is an arithmetic number, because the mean of its divisors is an integer number (1159092480).

Almost surely, 286485904528 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 86485904528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92727398400).

86485904528 is an abundant number, since it is smaller than the sum of its proper divisors (98968892272).

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

86485904528 is a wasteful number, since it uses less digits than its factorization.

86485904528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 59.

The spelling of 86485904528 in words is "eighty-six billion, four hundred eighty-five million, nine hundred four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 31 38 62 76 103 124 139 152 206 248 278 304 412 496 556 589 641 824 1112 1178 1282 1648 1957 2224 2356 2564 2641 3193 3914 4309 4712 5128 5282 6386 7828 8618 9424 10256 10564 12179 12772 14317 15656 17236 19871 21128 24358 25544 28634 31312 34472 39742 42256 48716 51088 57268 60667 66023 68944 79484 81871 89099 97432 114536 121334 132046 158968 163742 178198 194864 229072 242668 264092 272023 317936 327484 356396 377549 443827 485336 528184 544046 654968 712792 755098 887654 970672 1056368 1088092 1254437 1309936 1425584 1510196 1692881 1775308 2046713 2176184 2508874 2762069 3020392 3385762 3550616 4093426 4352368 5017748 5524138 6040784 6771524 7101232 8186852 8432713 9177197 10035496 11048276 13543048 16373704 16865426 18354394 20070992 22096552 27086096 32747408 33730852 36708788 38887547 44193104 52479311 67461704 73417576 77775094 104958622 134923408 146835152 155550188 174366743 209917244 284493107 311100376 348733486 419834488 568986214 622200752 697466972 839668976 1137972428 1394933944 2275944856 2789867888 4551889712 5405369033 10810738066 21621476132 43242952264 86485904528