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2055747712 = 27171922617
BaseRepresentation
bin111101010001000…
…0011100010000000
312022021020210201011
41322202003202000
513202232411322
6535553450304
7101641365364
oct17242034200
95267223634
102055747712
11965463757
12494570994
13269b95985
1415704b2a4
15c0725677
hex7a883880

2055747712 has 96 divisors (see below), whose sum is σ = 4578332220. Its totient is φ = 916144128.

The previous prime is 2055747649. The next prime is 2055747719. The reversal of 2055747712 is 2177475502.

It can be written as a sum of positive squares in 2 ways, for example, as 1647061056 + 408686656 = 40584^2 + 20216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055747719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 784228 + ... + 786844.

Almost surely, 22055747712 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 2055747712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289166110).

2055747712 is an abundant number, since it is smaller than the sum of its proper divisors (2522584508).

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

2055747712 is a wasteful number, since it uses less digits than its factorization.

2055747712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 40.

The square root of 2055747712 is about 45340.3541230106. The cubic root of 2055747712 is about 1271.5202230514.

The spelling of 2055747712 in words is "two billion, fifty-five million, seven hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 361 544 608 646 722 1088 1216 1292 1444 2176 2432 2584 2617 2888 5168 5234 5776 6137 10336 10468 11552 12274 20672 20936 23104 24548 41344 41872 44489 46208 49096 49723 83744 88978 98192 99446 167488 177956 196384 198892 334976 355912 392768 397784 711824 785536 795568 845291 944737 1423648 1591136 1690582 1889474 2847296 3182272 3381164 3778948 5694592 6364544 6762328 7557896 13524656 15115792 16060529 27049312 30231584 32121058 54098624 60463168 64242116 108197248 120926336 128484232 256968464 513936928 1027873856 2055747712