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2177094096 = 2432412831303
BaseRepresentation
bin1000000111000011…
…1101000111010000
312121201120211122200
42001300331013100
513424314002341
61000010403200
7104643665052
oct20160750720
95551524580
102177094096
11a17a05021
12509130500
13289071678
141691d78d2
15cb1e4db6
hex81c3d1d0

2177094096 has 120 divisors (see below), whose sum is σ = 6268307136. Its totient is φ = 704954880.

The previous prime is 2177094089. The next prime is 2177094149. The reversal of 2177094096 is 6904907712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1670181 + ... + 1671483.

Almost surely, 22177094096 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 2177094096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134153568).

2177094096 is an abundant number, since it is smaller than the sum of its proper divisors (4091213040).

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

2177094096 is a wasteful number, since it uses less digits than its factorization.

2177094096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2177094096 is about 46659.3409297645. The cubic root of 2177094096 is about 1296.0618683314.

The spelling of 2177094096 in words is "two billion, one hundred seventy-seven million, ninety-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 283 328 369 492 566 656 738 849 984 1132 1303 1476 1698 1968 2264 2547 2606 2952 3396 3909 4528 5094 5212 5904 6792 7818 10188 10424 11603 11727 13584 15636 20376 20848 23206 23454 31272 34809 40752 46412 46908 53423 62544 69618 92824 93816 104427 106846 139236 160269 185648 187632 208854 213692 278472 320538 368749 417708 427384 480807 556944 641076 737498 835416 854768 961614 1106247 1282152 1474996 1670832 1923228 2212494 2564304 2949992 3318741 3846456 4424988 5899984 6637482 7692912 8849976 13274964 15118709 17699952 26549928 30237418 45356127 53099856 60474836 90712254 120949672 136068381 181424508 241899344 272136762 362849016 544273524 725698032 1088547048 2177094096