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318172217472 = 2732166192
BaseRepresentation
bin1001010000101001000…
…10101100000010000000
31010102020222011022201200
410220110202230002000
520203104041424342
6402055530501200
731662414140244
oct4502442540200
91112228138650
10318172217472
11112a32a1624a
12517b7294800
1324007939905
141158479c424
158422c3494c
hex4a148ac080

318172217472 has 72 divisors (see below), whose sum is σ = 915628794015. Its totient is φ = 106051024128.

The previous prime is 318172217459. The next prime is 318172217509. The reversal of 318172217472 is 274712271813.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

318172217472 is a `hidden beast` number, since 3 + 1 + 8 + 172 + 2 + 1 + 7 + 472 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159086108736 + 159086108736 = 398856^2 + 398856^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=398856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19136779 + ... + 19153397.

Almost surely, 2318172217472 is an apocalyptic number.

318172217472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

318172217472 is an abundant number, since it is smaller than the sum of its proper divisors (597456576543).

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

318172217472 is an frugal number, since it uses more digits than its factorization.

318172217472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33258 (or 16624 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The spelling of 318172217472 in words is "three hundred eighteen billion, one hundred seventy-two million, two hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 16619 33238 49857 66476 99714 132952 149571 199428 265904 299142 398856 531808 598284 797712 1063616 1196568 1595424 2127232 2393136 3190848 4786272 6381696 9572544 19145088 276191161 552382322 828573483 1104764644 1657146966 2209529288 2485720449 3314293932 4419058576 4971440898 6628587864 8838117152 9942881796 13257175728 17676234304 19885763592 26514351456 35352468608 39771527184 53028702912 79543054368 106057405824 159086108736 318172217472