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52015012624 = 24232372672
BaseRepresentation
bin110000011100010101…
…100001101100010000
311222021000102102022001
4300130111201230100
51323011320400444
635521222123344
73520660212061
oct603425415420
9158230372261
1052015012624
1120072133943
12a0b7880554
134b9c3723a3
1427361b6568
1515467208d4
hexc1c561b10

52015012624 has 135 divisors (see below), whose sum is σ = 109915755957. Its totient is φ = 23843140992.

The previous prime is 52015012549. The next prime is 52015012631. The reversal of 52015012624 is 42621051025.

The square root of 52015012624 is 228068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46543747600 + 5471265024 = 215740^2 + 73968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52015012592 and 52015012601.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 776343439 + ... + 776343505.

Almost surely, 252015012624 is an apocalyptic number.

52015012624 is the 228068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52015012624

52015012624 is an abundant number, since it is smaller than the sum of its proper divisors (57900743333).

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

52015012624 is an equidigital number, since it uses as much as digits as its factorization.

52015012624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 52015012624 its reverse (42621051025), we get a palindrome (94636063649).

The spelling of 52015012624 in words is "fifty-two billion, fifteen million, twelve thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 37 46 67 74 92 134 148 184 268 296 368 529 536 592 851 1058 1072 1369 1541 1702 2116 2479 2738 3082 3404 4232 4489 4958 5476 6164 6808 8464 8978 9916 10952 12328 13616 17956 19573 19832 21904 24656 31487 35443 35912 39146 39664 57017 62974 70886 71824 78292 91723 103247 114034 125948 141772 156584 166093 183446 206494 228068 251896 283544 313168 332186 366892 412988 456136 503792 567088 664372 724201 733784 825976 912272 1311391 1328744 1448402 1467568 1651952 2109629 2374681 2622782 2657488 2896804 3820139 4219258 4749362 5245564 5793608 6145441 7640278 8438516 9498724 10491128 11587216 12290882 15280556 16877032 18997448 20982256 24581764 30561112 33754064 37994896 48521467 49163528 61122224 87863197 97042934 98327056 141345143 175726394 194085868 282690286 351452788 388171736 565380572 702905576 776343472 1130761144 1405811152 2261522288 3250938289 6501876578 13003753156 26007506312 52015012624