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2921642112 = 273127139431
BaseRepresentation
bin1010111000100100…
…1011100010000000
321112121120210112010
42232021023202000
521440420021422
61201524532520
7132254356014
oct25611134200
97477523463
102921642112
11126a210a64
12696551140
133773aa71c
141da04a544
15121766b0c
hexae24b880

2921642112 has 128 divisors (see below), whose sum is σ = 7896268800. Its totient is φ = 957035520.

The previous prime is 2921642099. The next prime is 2921642159. The reversal of 2921642112 is 2112461292.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×29216421122 = 17071985261223641088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2921642112.

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, 6778537 + ... + 6778967.

It is an arithmetic number, because the mean of its divisors is an integer number (61689600).

Almost surely, 22921642112 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 2921642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948134400).

2921642112 is an abundant number, since it is smaller than the sum of its proper divisors (4974626688).

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

2921642112 is a wasteful number, since it uses less digits than its factorization.

2921642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 702 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2921642112 is about 54052.2165317945. The cubic root of 2921642112 is about 1429.5817826018.

The spelling of 2921642112 in words is "two billion, nine hundred twenty-one million, six hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 139 192 254 278 381 384 417 431 508 556 762 834 862 1016 1112 1293 1524 1668 1724 2032 2224 2586 3048 3336 3448 4064 4448 5172 6096 6672 6896 8128 8896 10344 12192 13344 13792 16256 17653 17792 20688 24384 26688 27584 35306 41376 48768 52959 53376 54737 55168 59909 70612 82752 105918 109474 119818 141224 164211 165504 179727 211836 218948 239636 282448 328422 359454 423672 437896 479272 564896 656844 718908 847344 875792 958544 1129792 1313688 1437816 1694688 1751584 1917088 2259584 2627376 2875632 3389376 3503168 3834176 5254752 5751264 6778752 7006336 7608443 7668352 10509504 11502528 15216886 21019008 22825329 23005056 30433772 45650658 60867544 91301316 121735088 182602632 243470176 365205264 486940352 730410528 973880704 1460821056 2921642112