Search a number
-
+
858803033088 = 210337211213231
BaseRepresentation
bin11000111111101001010…
…01100101010000000000
310001002201110102022211000
430133310221211100000
5103032312034024323
61454310105252000
7116021640223200
oct14376451452000
93032643368730
10858803033088
11301241a17900
1211a537494000
1362ca5734b00
142d7cdc78400
1517515907e43
hexc7f4a65400

858803033088 has 2376 divisors, whose sum is σ = 3635008231680. Its totient is φ = 199264665600.

The previous prime is 858803033087. The next prime is 858803033113. The reversal of 858803033088 is 880330308858.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a super-2 number, since 2×8588030330882 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858803033083) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 27703323633 + ... + 27703323663.

Almost surely, 2858803033088 is an apocalyptic number.

858803033088 is a gapful number since it is divisible by the number (88) 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 858803033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817504115840).

858803033088 is an abundant number, since it is smaller than the sum of its proper divisors (2776205198592).

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

858803033088 is a wasteful number, since it uses less digits than its factorization.

858803033088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 858803033088 in words is "eight hundred fifty-eight billion, eight hundred three million, thirty-three thousand, eighty-eight".