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2830979712 = 27311739181
BaseRepresentation
bin1010100010111101…
…0101001010000000
321022021222200002110
42220233111022000
521244212322322
61144525415320
7130103634111
oct25057251200
97267880073
102830979712
111223017a60
1267010a540
13361686132
141cbdaa208
15118808c0c
hexa8bd5280

2830979712 has 128 divisors (see below), whose sum is σ = 8316688320. Its totient is φ = 846028800.

The previous prime is 2830979707. The next prime is 2830979731. The reversal of 2830979712 is 2179790382.

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

It is a super-2 number, since 2×28309797122 = 16028892259511205888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 303762 + ... + 312942.

Almost surely, 22830979712 is an apocalyptic number.

2830979712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830979712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158344160).

2830979712 is an abundant number, since it is smaller than the sum of its proper divisors (5485708608).

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

2830979712 is a wasteful number, since it uses less digits than its factorization.

2830979712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9282 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 2830979712 is about 53206.9517262547. The cubic root of 2830979712 is about 1414.6388656657.

The spelling of 2830979712 in words is "two billion, eight hundred thirty million, nine hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 128 132 146 176 192 219 264 292 352 384 438 528 584 704 803 876 1056 1168 1408 1606 1752 2112 2336 2409 3212 3504 4224 4672 4818 6424 7008 9181 9344 9636 12848 14016 18362 19272 25696 27543 28032 36724 38544 51392 55086 73448 77088 100991 102784 110172 146896 154176 201982 220344 293792 302973 308352 403964 440688 587584 605946 670213 807928 881376 1175168 1211892 1340426 1615856 1762752 2010639 2423784 2680852 3231712 3525504 4021278 4847568 5361704 6463424 7372343 8042556 9695136 10723408 12926848 14744686 16085112 19390272 21446816 22117029 29489372 32170224 38780544 42893632 44234058 58978744 64340448 85787264 88468116 117957488 128680896 176936232 235914976 257361792 353872464 471829952 707744928 943659904 1415489856 2830979712