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12903605976 = 2334716996733
BaseRepresentation
bin11000000010001110…
…10110011011011000
31020022021102002201110
430001013112123120
5202411310342401
65532225020320
7634522561332
oct140107263330
936267362643
1012903605976
115521827178
1226014846a0
1312a8421611
148a5a36452
15507c609d6
hex3011d66d8

12903605976 has 64 divisors (see below), whose sum is σ = 32969664000. Its totient is φ = 4206584448.

The previous prime is 12903605969. The next prime is 12903605987. The reversal of 12903605976 is 67950630921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1913106 + ... + 1919838.

It is an arithmetic number, because the mean of its divisors is an integer number (515151000).

Almost surely, 212903605976 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 12903605976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484832000).

12903605976 is an abundant number, since it is smaller than the sum of its proper divisors (20066058024).

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

12903605976 is a wasteful number, since it uses less digits than its factorization.

12903605976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 12903605976 in words is "twelve billion, nine hundred three million, six hundred five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1699 3398 5097 6733 6796 10194 13466 13592 20199 20388 26932 40398 40776 53864 79853 80796 159706 161592 239559 316451 319412 479118 632902 638824 949353 958236 1265804 1898706 1916472 2531608 3797412 7594824 11439367 22878734 34318101 45757468 68636202 91514936 137272404 274544808 537650249 1075300498 1612950747 2150600996 3225901494 4301201992 6451802988 12903605976