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5214404624 = 2411132989883
BaseRepresentation
bin1001101101100110…
…11000000000010000
3111110101211012102012
410312303120000100
541134341421444
62221230442052
7243134464562
oct46663300020
914411735365
105214404624
112236439410
121016363328
136513ba530
14376753332
15207ba8b9e
hex136cd8010

5214404624 has 160 divisors (see below), whose sum is σ = 12430454400. Its totient is φ = 2086318080.

The previous prime is 5214404621. The next prime is 5214404731. The reversal of 5214404624 is 4264044125.

It is not an unprimeable number, because it can be changed into a prime (5214404621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5904887 + ... + 5905769.

It is an arithmetic number, because the mean of its divisors is an integer number (77690340).

Almost surely, 25214404624 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 5214404624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215227200).

5214404624 is an abundant number, since it is smaller than the sum of its proper divisors (7216049776).

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

5214404624 is a wasteful number, since it uses less digits than its factorization.

5214404624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 5214404624 is about 72210.8345333302. The cubic root of 5214404624 is about 1734.0764599885.

Adding to 5214404624 its reverse (4264044125), we get a palindrome (9478448749).

The spelling of 5214404624 in words is "five billion, two hundred fourteen million, four hundred four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 89 104 116 143 176 178 208 232 286 319 356 377 464 572 638 712 754 883 979 1144 1157 1276 1424 1508 1766 1958 2288 2314 2552 2581 3016 3532 3916 4147 4628 5104 5162 6032 7064 7832 8294 9256 9713 10324 11479 12727 14128 15664 16588 18512 19426 20648 22958 25454 25607 28391 33176 33553 38852 41296 45916 50908 51214 56782 66352 67106 77704 78587 91832 101816 102428 113564 126269 134212 155408 157174 183664 203632 204856 227128 252538 268424 281677 314348 332891 369083 409712 454256 505076 536848 563354 628696 665782 738166 864457 1010152 1021631 1126708 1257392 1331564 1476332 1728914 2020304 2043262 2253416 2279023 2663128 2952664 3457828 3661801 4086524 4506832 4558046 5326256 5905328 6915656 7323602 8173048 9116092 11237941 13831312 14647204 16346096 18232184 22475882 25069253 29294408 29627299 36464368 44951764 50138506 58588816 59254598 89903528 100277012 118509196 179807056 200554024 237018392 325900289 401108048 474036784 651800578 1303601156 2607202312 5214404624