Search a number
-
+
2026495336320 = 2732572131941709
BaseRepresentation
bin11101011111010100100…
…010001101111110000000
321011201201221111101120200
4131133110202031332000
5231200230301230240
64150543100005200
7266260305101400
oct35372442157600
97151657441520
102026495336320
11711482872154
122888b9230800
13119136819180
1470123684800
1537aa90c7930
hex1d7d488df80

2026495336320 has 2304 divisors, whose sum is σ = 9466192008000. Its totient is φ = 394627645440.

The previous prime is 2026495336319. The next prime is 2026495336421. The reversal of 2026495336320 is 236335946202.

2026495336320 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 4 + 9 + 5 + 3 + 3 + 632 + 0 = 666.

It is a super-2 number, since 2×20264953363202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2858244126 + ... + 2858244834.

Almost surely, 22026495336320 is an apocalyptic number.

2026495336320 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 2026495336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733096004000).

2026495336320 is an abundant number, since it is smaller than the sum of its proper divisors (7439696671680).

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

2026495336320 is a wasteful number, since it uses less digits than its factorization.

2026495336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 2026495336320 in words is "two trillion, twenty-six billion, four hundred ninety-five million, three hundred thirty-six thousand, three hundred twenty".