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16442640675 = 3252591379041
BaseRepresentation
bin11110101000000111…
…01100100100100011
31120102220201200122200
433110003230210203
5232133304000200
611315330504243
71121315065626
oct172403544443
946386650580
1016442640675
116a7849533a
12322a735083
1317206a72a6
14b1da75dbd
156637cd800
hex3d40ec923

16442640675 has 72 divisors (see below), whose sum is σ = 30171707280. Its totient is φ = 8556902400.

The previous prime is 16442640667. The next prime is 16442640727. The reversal of 16442640675 is 57604624461.

16442640675 is a `hidden beast` number, since 164 + 426 + 4 + 0 + 67 + 5 = 666.

It is not a de Polignac number, because 16442640675 - 23 = 16442640667 is a prime.

It is a super-3 number, since 3×164426406753 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 16442640675.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1814155 + ... + 1823195.

It is an arithmetic number, because the mean of its divisors is an integer number (419051490).

Almost surely, 216442640675 is an apocalyptic number.

16442640675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16442640675 is a deficient number, since it is larger than the sum of its proper divisors (13729066605).

16442640675 is a wasteful number, since it uses less digits than its factorization.

16442640675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 16442640675 in words is "sixteen billion, four hundred forty-two million, six hundred forty thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 59 75 137 177 225 295 411 531 685 885 1233 1475 2055 2655 3425 4425 6165 8083 9041 10275 13275 24249 27123 30825 40415 45205 72747 81369 121245 135615 202075 226025 363735 406845 533419 606225 678075 1238617 1600257 1818675 2034225 2667095 3715851 4800771 6193085 8001285 11147553 13335475 18579255 24003855 30965425 40006425 55737765 73078403 92896275 120019275 219235209 278688825 365392015 657705627 1096176045 1826960075 3288528135 5480880225 16442640675