[go: up one dir, main page]

Search a number
-
+
2745743616 = 28337211267
BaseRepresentation
bin1010001110101000…
…1011100100000000
321002100121020011000
42203222023210000
521110402243431
61132242452000
7125020302300
oct24352134400
97070536130
102745743616
11118999a900
12647664000
13349b11685
141c093d600
151110bd9e6
hexa3a8b900

2745743616 has 648 divisors, whose sum is σ = 10536983520. Its totient is φ = 702535680.

The previous prime is 2745743597. The next prime is 2745743621. The reversal of 2745743616 is 6163475472.

2745743616 is a `hidden beast` number, since 2 + 74 + 574 + 3 + 6 + 1 + 6 = 666.

Its product of digits (846720) is a multiple of the sum of its prime divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40981215 + ... + 40981281.

Almost surely, 22745743616 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 2745743616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268491760).

2745743616 is an abundant number, since it is smaller than the sum of its proper divisors (7791239904).

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

2745743616 is a wasteful number, since it uses less digits than its factorization.

2745743616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2745743616 is about 52399.8436638889. The cubic root of 2745743616 is about 1400.2964705469.

The spelling of 2745743616 in words is "two billion, seven hundred forty-five million, seven hundred forty-three thousand, six hundred sixteen".