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4046416196980 = 2251414914299301
BaseRepresentation
bin111010111000100001001…
…100110011010101110100
3112022211111200221211000211
4322320201030303111310
51012244030021300410
612334521542115204
7565225652113423
oct72704114632564
915284450854024
104046416196980
1113200914a9443
1255428071bb04
13234763239751
14ddbc1ad92ba
15703caddc68a
hex3ae21333574

4046416196980 has 24 divisors (see below), whose sum is σ = 8498075178600. Its totient is φ = 1618451971200.

The previous prime is 4046416196957. The next prime is 4046416197001. The reversal of 4046416196980 is 896916146404.

4046416196980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1846848384144 + 2199567812836 = 1358988^2 + 1483094^2 .

It is a super-2 number, since 2×40464161969802 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6866671 + ... + 7432630.

It is an arithmetic number, because the mean of its divisors is an integer number (354086465775).

Almost surely, 24046416196980 is an apocalyptic number.

It is an amenable number.

4046416196980 is an abundant number, since it is smaller than the sum of its proper divisors (4451658981620).

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

4046416196980 is a wasteful number, since it uses less digits than its factorization.

4046416196980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14313459 (or 14313457 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 4046416196980 in words is "four trillion, forty-six billion, four hundred sixteen million, one hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 14149 28298 56596 70745 141490 282980 14299301 28598602 57197204 71496505 142993010 285986020 202320809849 404641619698 809283239396 1011604049245 2023208098490 4046416196980