Search a number
-
+
5061532128 = 253172241757
BaseRepresentation
bin1001011011011000…
…01101100111100000
3111001202011110202220
410231230031213200
540331223012003
62154130111040
7236300212302
oct45554154740
914052143686
105061532128
112168115004
12b9311b480
13628824033
1436031b972
151e955d353
hex12db0d9e0

5061532128 has 144 divisors (see below), whose sum is σ = 14191342704. Its totient is φ = 1579253760.

The previous prime is 5061532127. The next prime is 5061532159. The reversal of 5061532128 is 8212351605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061532121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6685926 + ... + 6686682.

It is an arithmetic number, because the mean of its divisors is an integer number (98550991).

Almost surely, 25061532128 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 5061532128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095671352).

5061532128 is an abundant number, since it is smaller than the sum of its proper divisors (9129810576).

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

5061532128 is a wasteful number, since it uses less digits than its factorization.

5061532128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5061532128 is about 71144.4455175525. The cubic root of 5061532128 is about 1716.9619309927.

The spelling of 5061532128 in words is "five billion, sixty-one million, five hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 241 272 289 408 482 544 578 723 757 816 867 964 1156 1446 1514 1632 1734 1928 2271 2312 2892 3028 3468 3856 4097 4542 4624 5784 6056 6936 7712 8194 9084 9248 11568 12112 12291 12869 13872 16388 18168 23136 24224 24582 25738 27744 32776 36336 38607 49164 51476 65552 69649 72672 77214 98328 102952 131104 139298 154428 182437 196656 205904 208947 218773 278596 308856 364874 393312 411808 417894 437546 547311 557192 617712 656319 729748 835788 875092 1094622 1114384 1235424 1312638 1459496 1671576 1750184 2189244 2228768 2625276 2918992 3101429 3343152 3500368 4378488 5250552 5837984 6202858 6686304 7000736 8756976 9304287 10501104 12405716 17513952 18608574 21002208 24811432 37217148 49622864 52724293 74434296 99245728 105448586 148868592 158172879 210897172 297737184 316345758 421794344 632691516 843588688 1265383032 1687177376 2530766064 5061532128