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2104736312 = 237414911867
BaseRepresentation
bin111110101110011…
…1011101000111000
312102200102200102202
41331130323220320
513302303030222
6544503445332
7103104651320
oct17534735070
95380380382
102104736312
119900835a8
124a8a56848
13277088903
1415d760280
15c4ba0892
hex7d73ba38

2104736312 has 64 divisors (see below), whose sum is σ = 4632042240. Its totient is φ = 877766400.

The previous prime is 2104736297. The next prime is 2104736339. The reversal of 2104736312 is 2136374012.

It is a happy number.

It is a super-2 number, since 2×21047363122 = 8859829886102722688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126403 + ... + 1128269.

It is an arithmetic number, because the mean of its divisors is an integer number (72375660).

Almost surely, 22104736312 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 2104736312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316021120).

2104736312 is an abundant number, since it is smaller than the sum of its proper divisors (2527305928).

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

2104736312 is a wasteful number, since it uses less digits than its factorization.

2104736312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 2104736312 is about 45877.4052448479. The cubic root of 2104736312 is about 1281.5411758389.

The spelling of 2104736312 in words is "two billion, one hundred four million, seven hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 491 574 982 1148 1867 1964 2296 3437 3734 3928 6874 7468 13069 13748 14936 20131 26138 27496 40262 52276 76547 80524 104552 140917 153094 161048 281834 306188 535829 563668 612376 916697 1071658 1127336 1833394 2143316 3666788 4286632 6416879 7333576 12833758 25667516 37584577 51335032 75169154 150338308 263092039 300676616 526184078 1052368156 2104736312