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1429585167472 = 247115171224401
BaseRepresentation
bin10100110011011001111…
…010101000010001110000
312001200000020201000121021
4110303121322220101300
5141410242300324342
63012424203305224
7205166311266430
oct24633172502160
95050006630537
101429585167472
11501313615520
121b109121b214
13a4a6a066327
144d29990c2c0
15272c0645567
hex14cd9ea8470

1429585167472 has 80 divisors (see below), whose sum is σ = 3453966860544. Its totient is φ = 556871040000.

The previous prime is 1429585167469. The next prime is 1429585167473. The reversal of 1429585167472 is 2747615859241.

It is a self number, because there is not a number n which added to its sum of digits gives 1429585167472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429585167473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6258472 + ... + 6482872.

Almost surely, 21429585167472 is an apocalyptic number.

It is an amenable number.

1429585167472 is an abundant number, since it is smaller than the sum of its proper divisors (2024381693072).

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

1429585167472 is a wasteful number, since it uses less digits than its factorization.

1429585167472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229598 (or 229592 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 61.

The spelling of 1429585167472 in words is "one trillion, four hundred twenty-nine billion, five hundred eighty-five million, one hundred sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 5171 10342 20684 36197 41368 56881 72394 82736 113762 144788 224401 227524 289576 398167 448802 455048 579152 796334 897604 910096 1570807 1592668 1795208 2468411 3141614 3185336 3590416 4936822 6283228 6370672 9873644 12566456 17278877 19747288 25132912 34557754 39494576 69115508 138231016 276462032 1160377571 2320755142 4641510284 8122642997 9283020568 12764153281 16245285994 18566041136 25528306562 32490571988 51056613124 64981143976 89349072967 102113226248 129962287952 178698145934 204226452496 357396291868 714792583736 1429585167472