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5169570048 = 28327872851
BaseRepresentation
bin1001101000010000…
…10110000100000000
3111100021110100221100
410310020112010000
541041402220143
62212545454400
7242051422536
oct46410260400
914307410840
105169570048
1122130a6545
121003341400
136450202b6
14370802156
15203c9e6d3
hex134216100

5169570048 has 108 divisors (see below), whose sum is σ = 14929318768. Its totient is φ = 1720396800.

The previous prime is 5169570047. The next prime is 5169570053. The reversal of 5169570048 is 8400759615.

5169570048 is a `hidden beast` number, since 516 + 95 + 7 + 0 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5169569985 and 5169570012.

It is not an unprimeable number, because it can be changed into a prime (5169570047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1811823 + ... + 1814673.

Almost surely, 25169570048 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 5169570048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464659384).

5169570048 is an abundant number, since it is smaller than the sum of its proper divisors (9759748720).

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

5169570048 is a wasteful number, since it uses less digits than its factorization.

5169570048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5169570048 is about 71899.7221691433. The cubic root of 5169570048 is about 1729.0921593640.

The spelling of 5169570048 in words is "five billion, one hundred sixty-nine million, five hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 787 1152 1574 2304 2361 2851 3148 4722 5702 6296 7083 8553 9444 11404 12592 14166 17106 18888 22808 25184 25659 28332 34212 37776 45616 50368 51318 56664 68424 75552 91232 100736 102636 113328 136848 151104 182464 201472 205272 226656 273696 302208 364928 410544 453312 547392 604416 729856 821088 906624 1094784 1642176 1813248 2189568 2243737 3284352 4487474 6568704 6731211 8974948 13462422 17949896 20193633 26924844 35899792 40387266 53849688 71799584 80774532 107699376 143599168 161549064 215398752 287198336 323098128 430797504 574396672 646196256 861595008 1292392512 1723190016 2584785024 5169570048