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3741099012 = 22327196112809
BaseRepresentation
bin1101111011111100…
…1010010000000100
3100122201112112001200
43132333022100010
530130210132022
61415120422500
7161464550130
oct33677122004
910581475050
103741099012
11164a831072
12884a77a30
134780b3771
14276bdc3c0
1516d683bac
hexdefca404

3741099012 has 144 divisors (see below), whose sum is σ = 11563843200. Its totient is φ = 995950080.

The previous prime is 3741099001. The next prime is 3741099049. The reversal of 3741099012 is 2109901473.

3741099012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37410990122 = 27991643635174752288, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285664 + ... + 298472.

Almost surely, 23741099012 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 3741099012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781921600).

3741099012 is an abundant number, since it is smaller than the sum of its proper divisors (7822744188).

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

3741099012 is a wasteful number, since it uses less digits than its factorization.

3741099012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12906 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3741099012 is about 61164.5241295966. The cubic root of 3741099012 is about 1552.3860596131.

The spelling of 3741099012 in words is "three billion, seven hundred forty-one million, ninety-nine thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 61 63 76 84 114 122 126 133 171 183 228 244 252 266 342 366 399 427 532 549 684 732 798 854 1098 1159 1197 1281 1596 1708 2196 2318 2394 2562 3477 3843 4636 4788 5124 6954 7686 8113 10431 12809 13908 15372 16226 20862 24339 25618 32452 38427 41724 48678 51236 73017 76854 89663 97356 115281 146034 153708 179326 230562 243371 268989 292068 358652 461124 486742 537978 730113 781349 806967 973484 1075956 1460226 1562698 1613934 1703597 2190339 2344047 2920452 3125396 3227868 3407194 4380678 4688094 5110791 5469443 6814388 7032141 8761356 9376188 10221582 10938886 14064282 14845631 15332373 16408329 20443164 21877772 28128564 29691262 30664746 32816658 44536893 49224987 59382524 61329492 65633316 89073786 98449974 103919417 133610679 178147572 196899948 207838834 267221358 311758251 415677668 534442716 623516502 935274753 1247033004 1870549506 3741099012