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12998421406152 = 23327213283412293
BaseRepresentation
bin1011110100100110111001…
…0010100110000111001000
31201000122012100002122121200
42331021232102212013020
53200431231334444102
643351220425504200
72511050666645100
oct275115622460710
951018170078550
1012998421406152
114161666019886
12155b221042060
13733990908b10
1432d1ac504200
151781bacb551c
hexbd26e4a61c8

12998421406152 has 144 divisors (see below), whose sum is σ = 44101787069340. Its totient is φ = 3428155084032.

The previous prime is 12998421406099. The next prime is 12998421406207. The reversal of 12998421406152 is 25160412489921.

12998421406152 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 8 + 4 + 2 + 14 + 0 + 615 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12882313569636 + 116107836516 = 3589194^2 + 340746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141660283 + ... + 141752010.

Almost surely, 212998421406152 is an apocalyptic number.

12998421406152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12998421406152 is an abundant number, since it is smaller than the sum of its proper divisors (31103365663188).

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

12998421406152 is a wasteful number, since it uses less digits than its factorization.

12998421406152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283412332 (or 283412318 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12998421406152 in words is "twelve trillion, nine hundred ninety-eight billion, four hundred twenty-one million, four hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 283412293 566824586 850236879 1133649172 1700473758 1983886051 2267298344 2550710637 3400947516 3684359809 3967772102 5101421274 5951658153 6801895032 7368719618 7935544204 10202842548 11053079427 11903316306 13887202357 14737439236 15871088408 17854974459 20405685096 22106158854 23806632612 25790518663 27774404714 29474878472 33159238281 35709948918 41661607071 44212317708 47613265224 51581037326 55548809428 66318476562 71419897836 77371555989 83323214142 88424635416 103162074652 111097618856 124984821213 132636953124 142839795672 154743111978 166646428284 180533630641 206324149304 232114667967 249969642426 265273906248 309486223956 333292856568 361067261282 464229335934 499939284852 541600891923 618972447912 722134522564 928458671868 999878569704 1083201783846 1444269045128 1624802675769 1856917343736 2166403567692 3249605351538 4332807135384 6499210703076 12998421406152