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4993290144 = 25335779271
BaseRepresentation
bin1001010011001111…
…11000111110100000
3110212222202102101000
410221213320332200
540211240241034
62143251312000
7234511160133
oct45147707640
913788672330
104993290144
112132644877
12b742ab600
1361764c76b
1435523621a
151e357d599
hex1299f8fa0

4993290144 has 48 divisors (see below), whose sum is σ = 14563765440. Its totient is φ = 1664429760.

The previous prime is 4993290139. The next prime is 4993290163. The reversal of 4993290144 is 4410923994.

4993290144 is a `hidden beast` number, since 499 + 32 + 90 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4993290144.

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 7 ways as a sum of consecutive naturals, for example, 2888772 + ... + 2890499.

It is an arithmetic number, because the mean of its divisors is an integer number (303411780).

Almost surely, 24993290144 is an apocalyptic number.

It is an amenable number.

4993290144 is an abundant number, since it is smaller than the sum of its proper divisors (9570475296).

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

4993290144 is a wasteful number, since it uses less digits than its factorization.

4993290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779290 (or 5779276 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4993290144 is about 70663.2163434414. The cubic root of 4993290144 is about 1709.2106914333.

The spelling of 4993290144 in words is "four billion, nine hundred ninety-three million, two hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 5779271 11558542 17337813 23117084 34675626 46234168 52013439 69351252 92468336 104026878 138702504 156040317 184936672 208053756 277405008 312080634 416107512 554810016 624161268 832215024 1248322536 1664430048 2496645072 4993290144