Search a number
-
+
2606600378208 = 253312733491109
BaseRepresentation
bin100101111011100101011…
…111010101011101100000
3100020012002110110212012110
4211323211133111131200
5320201304144100313
65313242232155320
7356214662434161
oct45734537253540
910205073425173
102606600378208
119154a8a61202
12361215238b40
1315ba557893c8
1490235587768
1547c0c527ec3
hex25ee57d5760

2606600378208 has 288 divisors, whose sum is σ = 7194034764000. Its totient is φ = 826198548480.

The previous prime is 2606600378093. The next prime is 2606600378257. The reversal of 2606600378208 is 8028730066062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2350405558 + ... + 2350406666.

It is an arithmetic number, because the mean of its divisors is an integer number (24979287375).

Almost surely, 22606600378208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606600378208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597017382000).

2606600378208 is an abundant number, since it is smaller than the sum of its proper divisors (4587434385792).

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

2606600378208 is a wasteful number, since it uses less digits than its factorization.

2606600378208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 2606600378208 in words is "two trillion, six hundred six billion, six hundred million, three hundred seventy-eight thousand, two hundred eight".