Search a number
-
+
5019962688 = 26341374489
BaseRepresentation
bin1001010110011011…
…01000110101000000
3110221211221112020000
410223031220311000
540240102301223
62150043120000
7235253656506
oct45315506500
913854845200
105019962688
1121467022a4
12b81213000
1362002b030
143589ba676
151e5a9b543
hex12b368d40

5019962688 has 140 divisors (see below), whose sum is σ = 16025629620. Its totient is φ = 1544583168.

The previous prime is 5019962687. The next prime is 5019962723. The reversal of 5019962688 is 8862699105.

It is a happy number.

5019962688 is a `hidden beast` number, since 5 + 0 + 1 + 9 + 9 + 626 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1954347264 + 3065615424 = 44208^2 + 55368^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5019962683) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30148 + ... + 104636.

It is an arithmetic number, because the mean of its divisors is an integer number (114468783).

Almost surely, 25019962688 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 5019962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012814810).

5019962688 is an abundant number, since it is smaller than the sum of its proper divisors (11005666932).

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

5019962688 is a wasteful number, since it uses less digits than its factorization.

5019962688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74526 (or 74507 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 5019962688 is about 70851.6950255955. The cubic root of 5019962688 is about 1712.2486391722.

The spelling of 5019962688 in words is "five billion, nineteen million, nine hundred sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 74489 148978 223467 297956 446934 595912 670401 893868 968357 1191824 1340802 1787736 1936714 2011203 2383648 2681604 2905071 3575472 3873428 4022406 4767296 5363208 5810142 6033609 7150944 7746856 8044812 8715213 10726416 11620284 12067218 14301888 15493712 16089624 17430426 21452832 23240568 24134436 26145639 30987424 32179248 34860852 42905664 46481136 48268872 52291278 61974848 64358496 69721704 78436917 92962272 96537744 104582556 128716992 139443408 156873834 185924544 193075488 209165112 278886816 313747668 386150976 418330224 557773632 627495336 836660448 1254990672 1673320896 2509981344 5019962688