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2112524052048 = 2432711243316619
BaseRepresentation
bin11110101111011100001…
…111101110011001010000
321110221210102200221211100
4132233130033232121100
5234102422124131143
64254251413544400
7305424213110604
oct36573417563120
97427712627740
102112524052048
11744a09832623
122a1508045100
131242969622a7
1474364d85504
1539e419a26d3
hex1ebdc3ee650

2112524052048 has 120 divisors (see below), whose sum is σ = 5996245769280. Its totient is φ = 694159119360.

The previous prime is 2112524052007. The next prime is 2112524052049. The reversal of 2112524052048 is 8402504252112.

2112524052048 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 52 + 40 + 520 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112524052049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127106683 + ... + 127123301.

It is an arithmetic number, because the mean of its divisors is an integer number (49968714744).

Almost surely, 22112524052048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112524052048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998122884640).

2112524052048 is an abundant number, since it is smaller than the sum of its proper divisors (3883721717232).

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

2112524052048 is a wasteful number, since it uses less digits than its factorization.

2112524052048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29137 (or 29128 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 2112524052048 in words is "two trillion, one hundred twelve billion, five hundred twenty-four million, fifty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 12433 16619 24866 33238 37299 49732 49857 66476 74598 99464 99714 111897 132952 149196 149571 198928 199428 223794 265904 298392 299142 398856 447588 596784 598284 797712 882743 895176 1179949 1196568 1765486 1790352 2359898 2393136 2648229 3530972 3539847 4719796 5296458 7061944 7079694 7944687 9439592 10592916 10619541 14123888 14159388 15889374 18879184 21185832 21239082 28318776 31778748 42371664 42478164 56637552 63557496 84956328 127114992 169912656 206624027 413248054 619872081 826496108 1239744162 1652992216 1859616243 2479488324 3305984432 3719232486 4958976648 7438464972 9917953296 14670305917 14876929944 29340611834 29753859888 44010917751 58681223668 88021835502 117362447336 132032753253 176043671004 234724894672 264065506506 352087342008 528131013012 704174684016 1056262026024 2112524052048