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2998960128 = 2153210169
BaseRepresentation
bin1011001011000000…
…1000000000000000
321202000001221220100
42302300020000000
522120213211003
61213330042400
7134213511663
oct26260100000
97660057810
102998960128
1112a992014a
126b8419400
1338a40c128
142064156da
1512843aba3
hexb2c08000

2998960128 has 96 divisors (see below), whose sum is σ = 8664382350. Its totient is φ = 999555072.

The previous prime is 2998960117. The next prime is 2998960163. The reversal of 2998960128 is 8210698992.

2998960128 is a `hidden beast` number, since 2 + 9 + 9 + 8 + 9 + 601 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1882865664 + 1116094464 = 43392^2 + 33408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 289828 + ... + 299996.

Almost surely, 22998960128 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 2998960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332191175).

2998960128 is an abundant number, since it is smaller than the sum of its proper divisors (5665422222).

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

2998960128 is an equidigital number, since it uses as much as digits as its factorization.

2998960128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 2998960128 is about 54762.7622385869. The cubic root of 2998960128 is about 1442.0829116116.

The spelling of 2998960128 in words is "two billion, nine hundred ninety-eight million, nine hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 10169 12288 16384 18432 20338 24576 30507 32768 36864 40676 49152 61014 73728 81352 91521 98304 122028 147456 162704 183042 244056 294912 325408 366084 488112 650816 732168 976224 1301632 1464336 1952448 2603264 2928672 3904896 5206528 5857344 7809792 10413056 11714688 15619584 20826112 23429376 31239168 41652224 46858752 62478336 83304448 93717504 124956672 166608896 187435008 249913344 333217792 374870016 499826688 749740032 999653376 1499480064 2998960128