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12047869152 = 2533111267663
BaseRepresentation
bin10110011100001101…
…11110010011100000
31011002122012011111000
423032012332103200
5144133223303102
65311255352000
7604362124644
oct131606762340
934078164430
1012047869152
115122787460
122402982600
1311a0055077
1482411cc24
154a7a7901c
hex2ce1be4e0

12047869152 has 96 divisors (see below), whose sum is σ = 38334159360. Its totient is φ = 3650866560.

The previous prime is 12047869117. The next prime is 12047869157. The reversal of 12047869152 is 25196874021.

12047869152 is a `hidden beast` number, since 1 + 20 + 478 + 6 + 9 + 152 = 666.

12047869152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120478691522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12047869098 and 12047869107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12047869157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624328 + ... + 643335.

It is an arithmetic number, because the mean of its divisors is an integer number (399314160).

Almost surely, 212047869152 is an apocalyptic number.

12047869152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12047869152 is an abundant number, since it is smaller than the sum of its proper divisors (26286290208).

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

12047869152 is a wasteful number, since it uses less digits than its factorization.

12047869152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267693 (or 1267679 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12047869152 in words is "twelve billion, forty-seven million, eight hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 1267663 2535326 3802989 5070652 7605978 10141304 11408967 13944293 15211956 20282608 22817934 27888586 30423912 34226901 40565216 41832879 45635868 55777172 60847824 68453802 83665758 91271736 111554344 121695648 125498637 136907604 167331516 182543472 223108688 250997274 273815208 334663032 365086944 376495911 446217376 501994548 547630416 669326064 752991822 1003989096 1095260832 1338652128 1505983644 2007978192 3011967288 4015956384 6023934576 12047869152