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5060271632 = 2413193233541
BaseRepresentation
bin1001011011001110…
…11001111000010000
3111001122210102200212
410231213121320100
540330412143012
62154043103252
7236253412343
oct45547317020
914048712625
105060271632
112167433a79
12b92811b28
136284a2390
143600b045a
151e93aeb22
hex12d9d9e10

5060271632 has 80 divisors (see below), whose sum is σ = 10678410288. Its totient is φ = 2309160960.

The previous prime is 5060271581. The next prime is 5060271637. The reversal of 5060271632 is 2361720605.

It can be written as a sum of positive squares in 8 ways, for example, as 1343662336 + 3716609296 = 36656^2 + 60964^2 .

It is not an unprimeable number, because it can be changed into a prime (5060271637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9353282 + ... + 9353822.

Almost surely, 25060271632 is an apocalyptic number.

5060271632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5060271632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339205144).

5060271632 is an abundant number, since it is smaller than the sum of its proper divisors (5618138656).

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

5060271632 is a wasteful number, since it uses less digits than its factorization.

5060271632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 5060271632 is about 71135.5862561067. The cubic root of 5060271632 is about 1716.8193915882.

The spelling of 5060271632 in words is "five billion, sixty million, two hundred seventy-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 193 208 233 386 466 541 772 932 1082 1544 1864 2164 2509 3029 3088 3728 4328 5018 6058 7033 8656 10036 12116 14066 20072 24232 28132 40144 44969 48464 56264 89938 104413 112528 126053 179876 208826 252106 359752 417652 504212 584597 719504 835304 1008424 1169194 1357369 1638689 1670608 2016848 2338388 2714738 3277378 4676776 5429476 6554756 9353552 10858952 13109512 21717904 24328229 26219024 48656458 97312916 194625832 316266977 389251664 632533954 1265067908 2530135816 5060271632