Search a number
-
+
2760045539172 = 22323109739124147
BaseRepresentation
bin101000001010011111100…
…010001010111101100100
3100202212011022121200110020
4220022133202022331210
5330210033124223142
65511540350355140
7403256333664405
oct50123742127544
910685138550406
102760045539172
1197458a830819
12386ab97bbab0
1317036aa1433c
14978306dd9ac
154bbdd7d0cec
hex2829f88af64

2760045539172 has 96 divisors (see below), whose sum is σ = 6790994918400. Its totient is φ = 870754084992.

The previous prime is 2760045539107. The next prime is 2760045539213. The reversal of 2760045539172 is 2719355400672.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22170003 + ... + 22294149.

It is an arithmetic number, because the mean of its divisors is an integer number (70739530400).

Almost surely, 22760045539172 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 2760045539172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395497459200).

2760045539172 is an abundant number, since it is smaller than the sum of its proper divisors (4030949379228).

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

2760045539172 is a wasteful number, since it uses less digits than its factorization.

2760045539172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125025 (or 125023 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 2760045539172 in words is "two trillion, seven hundred sixty billion, forty-five million, five hundred thirty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 109 138 218 276 327 436 654 739 1308 1478 2217 2507 2956 4434 5014 7521 8868 10028 15042 16997 30084 33994 50991 67988 80551 101982 124147 161102 203964 241653 248294 322204 372441 483306 496588 744882 966612 1489764 1852673 2855381 3705346 5558019 5710762 7410692 8566143 11116038 11421524 13532023 17132286 22232076 27064046 34264572 40596069 54128092 81192138 91744633 162384276 183489266 275233899 311236529 366978532 550467798 622473058 933709587 1100935596 1244946116 1867419174 2110126559 3734838348 4220253118 6330379677 8440506236 10000164997 12660759354 20000329994 25321518708 30000494991 40000659988 60000989982 120001979964 230003794931 460007589862 690011384793 920015179724 1380022769586 2760045539172