Search a number
-
+
2755071891792 = 24341131431131283
BaseRepresentation
bin101000000101110111000…
…101001101100101010000
3100202101022200211012220000
4220011313011031211100
5330114341401014132
65505355040050000
7403022151454623
oct50056705154520
910671280735800
102755071891792
11972468292940
12385b50003900
1316ca5748151c
14974bbd3bdba
154b9ebd3287c
hex2817714d950

2755071891792 has 800 divisors, whose sum is σ = 9276856528896. Its totient is φ = 781556428800.

The previous prime is 2755071891757. The next prime is 2755071891811. The reversal of 2755071891792 is 2971981705572.

2755071891792 is a `hidden beast` number, since 2 + 7 + 550 + 7 + 1 + 8 + 9 + 1 + 79 + 2 = 666.

It is a super-2 number, since 2×27550718917922 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2147366383 + ... + 2147367665.

Almost surely, 22755071891792 is an apocalyptic number.

2755071891792 is a gapful number since it is divisible by the number (22) 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 2755071891792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638428264448).

2755071891792 is an abundant number, since it is smaller than the sum of its proper divisors (6521784637104).

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

2755071891792 is a wasteful number, since it uses less digits than its factorization.

2755071891792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 63.

The spelling of 2755071891792 in words is "two trillion, seven hundred fifty-five billion, seventy-one million, eight hundred ninety-one thousand, seven hundred ninety-two".