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85715301312 = 2632197832173
BaseRepresentation
bin100111111010100000…
…1111011001111000000
322012020122110110111100
41033311001323033000
52401021104120222
6103213240214400
76123051016434
oct1176501731700
9265218413440
1085715301312
11333960645a3
1214741a6a400
13811022c604
144211c389c4
15236a11b4ac
hex13f507b3c0

85715301312 has 84 divisors (see below), whose sum is σ = 258618385480. Its totient is φ = 27067986432.

The previous prime is 85715301307. The next prime is 85715301323. The reversal of 85715301312 is 21310351758.

It is a happy number.

85715301312 is a `hidden beast` number, since 8 + 571 + 53 + 0 + 1 + 31 + 2 = 666.

It is a super-2 number, since 2×857153013122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3905143 + ... + 3927030.

Almost surely, 285715301312 is an apocalyptic number.

It is an amenable number.

85715301312 is an abundant number, since it is smaller than the sum of its proper divisors (172903084168).

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

85715301312 is a wasteful number, since it uses less digits than its factorization.

85715301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832210 (or 7832197 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 85715301312 in words is "eighty-five billion, seven hundred fifteen million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 7832173 15664346 23496519 31328692 46993038 62657384 70489557 93986076 125314768 140979114 148811287 187972152 250629536 281958228 297622574 375944304 446433861 501259072 563916456 595245148 751888608 892867722 1127832912 1190490296 1339301583 1503777216 1785735444 2255665824 2380980592 2678603166 3571470888 4511331648 4761961184 5357206332 7142941776 9523922368 10714412664 14285883552 21428825328 28571767104 42857650656 85715301312