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2980546944 = 27328327427
BaseRepresentation
bin1011000110100111…
…1000100110000000
321200201102110202120
42301221320212000
522101010000234
61211431244240
7133601142144
oct26151704600
97621373676
102980546944
11129a494041
126b2219680
1338666305b
14203bc1224
15126a00049
hexb1a78980

2980546944 has 64 divisors (see below), whose sum is σ = 7945343040. Its totient is φ = 989968896.

The previous prime is 2980546937. The next prime is 2980546957. The reversal of 2980546944 is 4496450892.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 94959 + ... + 122385.

It is an arithmetic number, because the mean of its divisors is an integer number (124145985).

Almost surely, 22980546944 is an apocalyptic number.

2980546944 is a gapful number since it is divisible by the number (24) 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 2980546944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972671520).

2980546944 is an abundant number, since it is smaller than the sum of its proper divisors (4964796096).

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

2980546944 is a wasteful number, since it uses less digits than its factorization.

2980546944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27727 (or 27715 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 2980546944 is about 54594.3856454123. The cubic root of 2980546944 is about 1439.1254566326.

The spelling of 2980546944 in words is "two billion, nine hundred eighty million, five hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 283 384 566 849 1132 1698 2264 3396 4528 6792 9056 13584 18112 27168 27427 36224 54336 54854 82281 108672 109708 164562 219416 329124 438832 658248 877664 1316496 1755328 2632992 3510656 5265984 7761841 10531968 15523682 23285523 31047364 46571046 62094728 93142092 124189456 186284184 248378912 372568368 496757824 745136736 993515648 1490273472 2980546944