Search a number
-
+
2128801139712 = 21034132197993
BaseRepresentation
bin11110111110100110011…
…011111000110000000000
321112111210210220200110000
4132332212123320300000
5234334241042432322
64305542512240000
7306541451061642
oct36764633706000
97474723820400
102128801139712
11750901822495
122a46ab240000
1312598bc53400
147506aa44892
153a59597d3ac
hex1efa66f8c00

2128801139712 has 660 divisors, whose sum is σ = 7246836153480. Its totient is φ = 620463587328.

The previous prime is 2128801139687. The next prime is 2128801139747. The reversal of 2128801139712 is 2179311088212.

It is a super-2 number, since 2×21288011397122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 266329188 + ... + 266337180.

It is an arithmetic number, because the mean of its divisors is an integer number (10980054778).

Almost surely, 22128801139712 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 2128801139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623418076740).

2128801139712 is an abundant number, since it is smaller than the sum of its proper divisors (5118035013768).

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

2128801139712 is a wasteful number, since it uses less digits than its factorization.

2128801139712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8070 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 2128801139712 in words is "two trillion, one hundred twenty-eight billion, eight hundred one million, one hundred thirty-nine thousand, seven hundred twelve".