Search a number
-
+
210136881024 = 2732731792971
BaseRepresentation
bin1100001110110100100…
…0100101011110000000
3202002101210121121002100
43003231020211132000
511420330020143044
6240311402350400
721116250006000
oct3035510453600
9662353547070
10210136881024
1181133877a24
12348864bb400
1316a7b494125
14a2564b6000
1556ed36e869
hex30ed225780

210136881024 has 384 divisors, whose sum is σ = 709356960000. Its totient is φ = 59683599360.

The previous prime is 210136881011. The next prime is 210136881049. The reversal of 210136881024 is 420188631012.

210136881024 is a `hidden beast` number, since 210 + 1 + 368 + 81 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 210136881024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70727859 + ... + 70730829.

It is an arithmetic number, because the mean of its divisors is an integer number (1847283750).

Almost surely, 2210136881024 is an apocalyptic number.

210136881024 is a gapful number since it is divisible by the number (24) 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 210136881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354678480000).

210136881024 is an abundant number, since it is smaller than the sum of its proper divisors (499220078976).

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

210136881024 is a wasteful number, since it uses less digits than its factorization.

210136881024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 210136881024 in words is "two hundred ten billion, one hundred thirty-six million, eight hundred eighty-one thousand, twenty-four".