Search a number
-
+
364062243840 = 2103542535573
BaseRepresentation
bin1010100110000111100…
…11001111110000000000
31021210201010100012102220
411103003303033300000
521431044413300330
6435125313211040
735205542004501
oct5230363176000
91253633305386
10364062243840
11130441711279
125a683860a80
132843c061879
141389930cba8
15970b87e710
hex54c3ccfc00

364062243840 has 176 divisors, whose sum is σ = 1164913113888. Its totient is φ = 97043021824.

The previous prime is 364062243821. The next prime is 364062243841. The reversal of 364062243840 is 48342260463.

It is a junction number, because it is equal to n+sod(n) for n = 364062243792 and 364062243801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364062243841) 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 15 ways as a sum of consecutive naturals, for example, 65323294 + ... + 65328866.

Almost surely, 2364062243840 is an apocalyptic number.

364062243840 is a gapful number since it is divisible by the number (30) 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 364062243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582456556944).

364062243840 is an abundant number, since it is smaller than the sum of its proper divisors (800850870048).

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

364062243840 is a wasteful number, since it uses less digits than its factorization.

364062243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854 (or 9836 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 364062243840 in words is "three hundred sixty-four billion, sixty-two million, two hundred forty-three thousand, eight hundred forty".