Search a number
-
+
4299959055168 = 26337359122963
BaseRepresentation
bin111110100100101001100…
…010000011001101000000
3120020001221112120111221000
4332210221202003031000
51030422304004231133
613051212433332000
7622442664624000
oct76445142031500
916201845514830
104299959055168
111408669872467
1259543b707000
1325263b2bc71a
1410c194c64000
1576cb9c7c413
hex3e929883340

4299959055168 has 448 divisors, whose sum is σ = 14991770880000. Its totient is φ = 1207726861824.

The previous prime is 4299959055151. The next prime is 4299959055229. The reversal of 4299959055168 is 8615509599924.

4299959055168 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 9 + 5 + 9 + 0 + 551 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×42999590551682 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4299959055096 and 4299959055105.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 34908055 + ... + 35031017.

Almost surely, 24299959055168 is an apocalyptic number.

4299959055168 is a gapful number since it is divisible by the number (48) 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 4299959055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495885440000).

4299959055168 is an abundant number, since it is smaller than the sum of its proper divisors (10691811824832).

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

4299959055168 is a wasteful number, since it uses less digits than its factorization.

4299959055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123064 (or 123034 counting only the distinct ones).

The product of its (nonzero) digits is 314928000, while the sum is 72.

The spelling of 4299959055168 in words is "four trillion, two hundred ninety-nine billion, nine hundred fifty-nine million, fifty-five thousand, one hundred sixty-eight".