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86305220144 = 24111322901601
BaseRepresentation
bin101000001100000110…
…0010010011000110000
322020202202111102222222
41100120030102120300
52403223114021034
6103351552220212
76143503160423
oct1203014223060
9266682442888
1086305220144
1133669057320
121488753a668
1381a5508700
14426a3199ba
1523a1ce712e
hex1418312630

86305220144 has 60 divisors (see below), whose sum is σ = 197529457752. Its totient is φ = 36211968000.

The previous prime is 86305220143. The next prime is 86305220179. The reversal of 86305220144 is 44102250368.

It is not an unprimeable number, because it can be changed into a prime (86305220143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1421057 + ... + 1480544.

Almost surely, 286305220144 is an apocalyptic number.

It is an amenable number.

86305220144 is an abundant number, since it is smaller than the sum of its proper divisors (111224237608).

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

86305220144 is a wasteful number, since it uses less digits than its factorization.

86305220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901646 (or 2901627 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 86305220144 in words is "eighty-six billion, three hundred five million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 572 676 1144 1352 1859 2288 2704 3718 7436 14872 29744 2901601 5803202 11606404 23212808 31917611 37720813 46425616 63835222 75441626 127670444 150883252 255340888 301766504 414928943 490370569 510681776 603533008 829857886 980741138 1659715772 1961482276 3319431544 3922964552 5394076259 6638863088 7845929104 10788152518 21576305036 43152610072 86305220144