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2945742756 = 22311235318307
BaseRepresentation
bin1010111110010100…
…0111011110100100
321121021221020101120
42233211013132210
522013102232011
61204145253540
7132666254205
oct25745073644
97537836346
102945742756
111281882150
126a26342b0
1337c398468
141dd3215ac
15123927a06
hexaf9477a4

2945742756 has 96 divisors (see below), whose sum is σ = 7972328448. Its totient is φ = 837682560.

The previous prime is 2945742743. The next prime is 2945742763. The reversal of 2945742756 is 6572475492.

It is a junction number, because it is equal to n+sod(n) for n = 2945742699 and 2945742708.

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, 151755 + ... + 170061.

It is an arithmetic number, because the mean of its divisors is an integer number (83045088).

Almost surely, 22945742756 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 2945742756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986164224).

2945742756 is an abundant number, since it is smaller than the sum of its proper divisors (5026585692).

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

2945742756 is a wasteful number, since it uses less digits than its factorization.

2945742756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18401 (or 18399 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 51.

The square root of 2945742756 is about 54274.6971986026. The cubic root of 2945742756 is about 1433.5018996030.

The spelling of 2945742756 in words is "two billion, nine hundred forty-five million, seven hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 53 66 69 92 106 132 138 159 212 253 276 318 506 583 636 759 1012 1166 1219 1518 1749 2332 2438 3036 3498 3657 4876 6996 7314 13409 14628 18307 26818 36614 40227 53636 54921 73228 80454 109842 160908 201377 219684 402754 421061 604131 805508 842122 970271 1208262 1263183 1684244 1940542 2416524 2526366 2910813 3881084 4631671 5052732 5821626 9263342 10672981 11643252 13895013 18526684 21345962 22316233 27790026 32018943 42691924 44632466 55580052 64037886 66948699 89264932 128075772 133897398 245478563 267794796 490957126 736435689 981914252 1472871378 2945742756