Search a number
-
+
5021051616 = 2532723108287
BaseRepresentation
bin1001010110100011…
…10010101011100000
3110221220222211221200
410223101302223200
540240342122431
62150122321200
7235266143310
oct45321625340
913856884850
105021051616
112147286439
12b81659200
1362031c879
14358bc1440
151e5c13ee6
hex12b472ae0

5021051616 has 144 divisors (see below), whose sum is σ = 17028071424. Its totient is φ = 1372200192.

The previous prime is 5021051579. The next prime is 5021051621. The reversal of 5021051616 is 6161501205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×50210516162 = 50421918661072422912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5021051616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7776 + ... + 100511.

It is an arithmetic number, because the mean of its divisors is an integer number (118250496).

Almost surely, 25021051616 is an apocalyptic number.

5021051616 is a gapful number since it is divisible by the number (56) 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 5021051616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8514035712).

5021051616 is an abundant number, since it is smaller than the sum of its proper divisors (12007019808).

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

5021051616 is a wasteful number, since it uses less digits than its factorization.

5021051616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108333 (or 108322 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5021051616 is about 70859.3791674751. The cubic root of 5021051616 is about 1712.3724369506.

The spelling of 5021051616 in words is "five billion, twenty-one million, fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 108287 216574 324861 433148 649722 758009 866296 974583 1299444 1516018 1732592 1949166 2274027 2490601 2598888 3032036 3465184 3898332 4548054 4981202 5197776 6064072 6822081 7471803 7796664 9096108 9962404 10395552 12128144 13644162 14943606 15593328 17434207 18192216 19924808 22415409 24256288 27288324 29887212 31186656 34868414 36384432 39849616 44830818 52302621 54576648 59774424 69736828 72768864 79699232 89661636 104605242 109153296 119548848 139473656 156907863 179323272 209210484 218306592 239097696 278947312 313815726 358646544 418420968 557894624 627631452 717293088 836841936 1255262904 1673683872 2510525808 5021051616