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85254249312 = 25321811635479
BaseRepresentation
bin100111101100110001…
…1001001101101100000
322011001111220121001100
41033121203021231200
52344100041434222
6103055410234400
76105452106501
oct1173143115540
9264044817040
1085254249312
113317988a391
1214633585a00
13806886328b
1441aa900ba8
15233e8e84ac
hex13d98c9b60

85254249312 has 72 divisors (see below), whose sum is σ = 243781377840. Its totient is φ = 28261059840.

The previous prime is 85254249299. The next prime is 85254249389. The reversal of 85254249312 is 21394245258.

85254249312 is a `hidden beast` number, since 8 + 5 + 2 + 542 + 4 + 93 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765612 + ... + 869867.

It is an arithmetic number, because the mean of its divisors is an integer number (3385852470).

Almost surely, 285254249312 is an apocalyptic number.

It is an amenable number.

85254249312 is an abundant number, since it is smaller than the sum of its proper divisors (158527128528).

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

85254249312 is a wasteful number, since it uses less digits than its factorization.

85254249312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635676 (or 1635665 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 85254249312 in words is "eighty-five billion, two hundred fifty-four million, two hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 288 362 543 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 13032 17376 26064 52128 1635479 3270958 4906437 6541916 9812874 13083832 14719311 19625748 26167664 29438622 39251496 52335328 58877244 78502992 117754488 157005984 235508976 296021699 471017952 592043398 888065097 1184086796 1776130194 2368173592 2664195291 3552260388 4736347184 5328390582 7104520776 9472694368 10656781164 14209041552 21313562328 28418083104 42627124656 85254249312