Search a number
-
+
2089353124404 = 2233713193161297
BaseRepresentation
bin11110011001110111001…
…001101001101000110100
321101201222121111212121000
4132121313021221220310
5233212443344440104
64235500252323300
7303644055346650
oct36316711515064
97351877455530
102089353124404
117360a9407747
12298b20173530
13122043357810
14731a78c1a60
153953767c639
hex1e677269a34

2089353124404 has 1152 divisors, whose sum is σ = 7440779673600. Its totient is φ = 491791564800.

The previous prime is 2089353124387. The next prime is 2089353124409. The reversal of 2089353124404 is 4044213539802.

2089353124404 is a `hidden beast` number, since 2 + 0 + 8 + 93 + 531 + 24 + 4 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2089353124404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089353124409) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21539722884 + ... + 21539722980.

Almost surely, 22089353124404 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 2089353124404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720389836800).

2089353124404 is an abundant number, since it is smaller than the sum of its proper divisors (5351426549196).

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

2089353124404 is a wasteful number, since it uses less digits than its factorization.

2089353124404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2089353124404 in words is "two trillion, eighty-nine billion, three hundred fifty-three million, one hundred twenty-four thousand, four hundred four".