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12047963699952 = 243417546839311
BaseRepresentation
bin1010111101010010001010…
…0110001011101011110000
31120122202220022020111220000
42233110202212023223300
53034343212201344302
641342431430350000
72352302525515305
oct257244246135360
946582808214800
1012047963699952
113925570467554
121426b867bb300
1369516c61582b
142d91a5ac50ac
1515d5ddb3231c
hexaf52298baf0

12047963699952 has 100 divisors (see below), whose sum is σ = 36921496667616. Its totient is φ = 3779753310720.

The previous prime is 12047963699921. The next prime is 12047963700029. The reversal of 12047963699952 is 25999636974021.

12047963699952 is a `hidden beast` number, since 1 + 2 + 0 + 47 + 96 + 369 + 99 + 52 = 666.

12047963699952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120479636999522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 273397624 + ... + 273441687.

Almost surely, 212047963699952 is an apocalyptic number.

12047963699952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12047963699952 is an abundant number, since it is smaller than the sum of its proper divisors (24873532967664).

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

12047963699952 is a wasteful number, since it uses less digits than its factorization.

12047963699952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546839348 (or 546839333 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 12047963699952 in words is "twelve trillion, forty-seven billion, nine hundred sixty-three million, six hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 22032 546839311 1093678622 1640517933 2187357244 3281035866 4374714488 4921553799 6562071732 8749428976 9296268287 9843107598 13124143464 14764661397 18592536574 19686215196 26248286928 27888804861 29529322794 37185073148 39372430392 44293984191 55777609722 59058645588 74370146296 78744860784 83666414583 88587968382 111555219444 118117291176 148740292592 167332829166 177175936764 223110438888 236234582352 250999243749 334665658332 354351873528 446220877776 501998487498 669331316664 708703747056 752997731247 1003996974996 1338662633328 1505995462494 2007993949992 3011990924988 4015987899984 6023981849976 12047963699952