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12049866072 = 2333376612281
BaseRepresentation
bin10110011100011101…
…00101110101011000
31011002202221121202000
423032032211311120
5144134231203242
65311410241000
7604415112606
oct131616456530
934082847660
1012049866072
115123920802
122403586160
1311a05a3c8a
148244bc876
154a7d20a4c
hex2ce3a5d58

12049866072 has 128 divisors (see below), whose sum is σ = 34443595200. Its totient is φ = 3900441600.

The previous prime is 12049866071. The next prime is 12049866077. The reversal of 12049866072 is 27066894021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12049866071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5281572 + ... + 5283852.

Almost surely, 212049866072 is an apocalyptic number.

12049866072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12049866072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221797600).

12049866072 is an abundant number, since it is smaller than the sum of its proper divisors (22393729128).

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

12049866072 is a wasteful number, since it uses less digits than its factorization.

12049866072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12049866072 in words is "twelve billion, forty-nine million, eight hundred sixty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 661 666 888 999 1322 1332 1983 1998 2281 2644 2664 3966 3996 4562 5288 5949 6843 7932 7992 9124 11898 13686 15864 17847 18248 20529 23796 24457 27372 35694 41058 47592 48914 54744 61587 71388 73371 82116 84397 97828 123174 142776 146742 164232 168794 195656 220113 246348 253191 293484 337588 440226 492696 506382 586968 660339 675176 759573 880452 1012764 1320678 1507741 1519146 1760904 2025528 2278719 2641356 3015482 3038292 4523223 4557438 5282712 6030964 6076584 9046446 9114876 12061928 13569669 18092892 18229752 27139338 36185784 40709007 54278676 55786417 81418014 108557352 111572834 162836028 167359251 223145668 325672056 334718502 446291336 502077753 669437004 1004155506 1338874008 1506233259 2008311012 3012466518 4016622024 6024933036 12049866072