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2873876112 = 24341727673
BaseRepresentation
bin1010101101001011…
…1101111010010000
321102021201000220000
42223102331322100
521341203013422
61153101050000
7131134354362
oct25322757220
97367630800
102873876112
111245256728
12682556900
1336a525113
141d3974d32
1511c47dcac
hexab4bde90

2873876112 has 150 divisors (see below), whose sum is σ = 8837048418. Its totient is φ = 901490688.

The previous prime is 2873876107. The next prime is 2873876123. The reversal of 2873876112 is 2116783782.

2873876112 is a `hidden beast` number, since 28 + 7 + 3 + 8 + 7 + 611 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1351003536 + 1522872576 = 36756^2 + 39024^2 .

It is a super-3 number, since 3×28738761123 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 370708 + ... + 378380.

Almost surely, 22873876112 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 2873876112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418524209).

2873876112 is an abundant number, since it is smaller than the sum of its proper divisors (5963172306).

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

2873876112 is a wasteful number, since it uses less digits than its factorization.

2873876112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7727 (or 7695 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 2873876112 is about 53608.5451397443. The cubic root of 2873876112 is about 1421.7481795174.

The spelling of 2873876112 in words is "two billion, eight hundred seventy-three million, eight hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 289 306 324 408 432 459 578 612 648 816 867 918 1156 1224 1296 1377 1734 1836 2312 2448 2601 2754 3468 3672 4624 5202 5508 6936 7344 7673 7803 10404 11016 13872 15346 15606 20808 22032 23019 23409 30692 31212 41616 46038 46818 61384 62424 69057 92076 93636 122768 124848 130441 138114 184152 187272 207171 260882 276228 368304 374544 391323 414342 521764 552456 621513 782646 828684 1043528 1104912 1173969 1243026 1565292 1657368 2087056 2217497 2347938 2486052 3130584 3314736 3521907 4434994 4695876 4972104 6261168 6652491 7043814 8869988 9391752 9944208 10565721 13304982 14087628 17739976 18783504 19957473 21131442 26609964 28175256 35479952 39914946 42262884 53219928 56350512 59872419 79829892 84525768 106439856 119744838 159659784 169051536 179617257 239489676 319319568 359234514 478979352 718469028 957958704 1436938056 2873876112