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189477986418 = 23272146572
BaseRepresentation
bin1011000001110111000…
…1001010000001110010
3200010002001021000100200
42300131301022001302
511101022331031133
6223013414500030
716455304211400
oct2603561120162
9603061230320
10189477986418
11733a2424706
123087b964616
1314b3843cb36
1492568b6470
154dde850913
hex2c1dc4a072

189477986418 has 54 divisors (see below), whose sum is σ = 477594448461. Its totient is φ = 54132873984.

The previous prime is 189477986417. The next prime is 189477986437. The reversal of 189477986418 is 814689774981.

189477986418 is a `hidden beast` number, since 1 + 8 + 9 + 477 + 98 + 64 + 1 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107225467209 + 82252519209 = 327453^2 + 286797^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=307797.

It is a super-3 number, since 3×1894779864183 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (189477986413) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12920146 + ... + 12934802.

Almost surely, 2189477986418 is an apocalyptic number.

189477986418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

189477986418 is an abundant number, since it is smaller than the sum of its proper divisors (288116462043).

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

189477986418 is an frugal number, since it uses more digits than its factorization.

189477986418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29336 (or 14669 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 72.

Multiplying 189477986418 by its sum of digits (72), we get a square (13642415022096 = 36935642).

The spelling of 189477986418 in words is "one hundred eighty-nine billion, four hundred seventy-seven million, nine hundred eighty-six thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 14657 29314 43971 87942 102599 131913 205198 263826 307797 615594 718193 923391 1436386 1846782 2154579 4309158 6463737 12927474 214827649 429655298 644482947 1288965894 1503793543 1933448841 3007587086 3866897682 4511380629 9022761258 10526554801 13534141887 21053109602 27068283774 31579664403 63159328806 94738993209 189477986418