Search a number
-
+
2117469135810 = 2357192357739989
BaseRepresentation
bin11110110100000010111…
…111101110001111000010
321111102120001202020110210
4132310002333232033002
5234143034044321220
64300430224134550
7305660600453460
oct36640277561702
97442501666423
102117469135810
11747017141206
122a2468167456
131248a4303b62
14746b3a2d830
153a130bac6e0
hex1ed02fee3c2

2117469135810 has 256 divisors, whose sum is σ = 6390619545600. Its totient is φ = 437812936704.

The previous prime is 2117469135799. The next prime is 2117469135811. The reversal of 2117469135810 is 185319647112.

It is a super-2 number, since 2×21174691358102 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2117469135810.

It is not an unprimeable number, because it can be changed into a prime (2117469135811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52931296 + ... + 52971284.

It is an arithmetic number, because the mean of its divisors is an integer number (24963357600).

It is a 1-persistent number, because it is pandigital, but 2⋅2117469135810 = 4234938271620 is not.

Almost surely, 22117469135810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117469135810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195309772800).

2117469135810 is an abundant number, since it is smaller than the sum of its proper divisors (4273150409790).

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

2117469135810 is a wasteful number, since it uses less digits than its factorization.

2117469135810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40625.

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 2117469135810 in words is "two trillion, one hundred seventeen billion, four hundred sixty-nine million, one hundred thirty-five thousand, eight hundred ten".