Search a number
-
+
2010376604040 = 23357443162269
BaseRepresentation
bin11101010000010011110…
…010001000100110001000
321010012010121020221201020
4131100103302020212020
5230414222402312130
64135315415352440
7265150002120000
oct35202362104610
97105117227636
102010376604040
11705661201002
1228575b082720
1311776829106c
146d434a47000
1537463e7be10
hex1d413c88988

2010376604040 has 320 divisors, whose sum is σ = 7199569396800. Its totient is φ = 448825499136.

The previous prime is 2010376604021. The next prime is 2010376604063. The reversal of 2010376604040 is 404066730102.

It is a happy number.

It is a super-2 number, since 2×20103766040402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2010376603992 and 2010376604010.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12308026 + ... + 12470294.

It is an arithmetic number, because the mean of its divisors is an integer number (22498654365).

Almost surely, 22010376604040 is an apocalyptic number.

2010376604040 is a gapful number since it is divisible by the number (20) 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 2010376604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599784698400).

2010376604040 is an abundant number, since it is smaller than the sum of its proper divisors (5189192792760).

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

2010376604040 is a wasteful number, since it uses less digits than its factorization.

2010376604040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162354 (or 162329 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 2010376604040 in words is "two trillion, ten billion, three hundred seventy-six million, six hundred four thousand, forty".