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378173341764 = 223217260292
BaseRepresentation
bin1011000000011001110…
…00110100000001000100
31100011010112212020201100
411200030320310001010
522143444333414024
6445421435100100
736215326236621
oct5401470640104
91304115766640
10378173341764
11136422aa0a79
12613615a1630
132987a69b75a
1414437465348
159c8560a7c9
hex580ce34044

378173341764 has 81 divisors (see below), whose sum is σ = 1015646031127. Its totient is φ = 118622938368.

The previous prime is 378173341759. The next prime is 378173341783. The reversal of 378173341764 is 467143371873.

The square root of 378173341764 is 614958.

It is a perfect power (a square), and thus also a powerful number.

378173341764 is a `hidden beast` number, since 3 + 78 + 173 + 341 + 7 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 203121476100 + 175051865664 = 450690^2 + 418392^2 .

It is a super-2 number, since 2×3781733417642 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 378173341764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62722702 + ... + 62728730.

Almost surely, 2378173341764 is an apocalyptic number.

378173341764 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

378173341764 is the 614958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378173341764

378173341764 is an abundant number, since it is smaller than the sum of its proper divisors (637472689363).

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

378173341764 is an equidigital number, since it uses as much as digits as its factorization.

378173341764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102 (or 6051 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 378173341764 in words is "three hundred seventy-eight billion, one hundred seventy-three million, three hundred forty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 6029 10404 12058 18087 24116 36174 54261 72348 102493 108522 204986 217044 307479 409972 614958 922437 1229916 1742381 1844874 3484762 3689748 5227143 6969524 10454286 15681429 20908572 31362858 36348841 62725716 72697682 109046523 145395364 218093046 327139569 436186092 617930297 654279138 1235860594 1308558276 1853790891 2471721188 3707581782 5561372673 7415163564 10504815049 11122745346 21009630098 22245490692 31514445147 42019260196 63028890294 94543335441 126057780588 189086670882 378173341764