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5153625512 = 23719371091201
BaseRepresentation
bin1001100110010111…
…00001010110101000
3111022011110022010222
410303023201112220
541023312004022
62211220025212
7241466044160
oct46313412650
914264408128
105153625512
1122050a6142
12bb9b32208
13641929a69
1436c6515a0
152026a0242
hex1332e15a8

5153625512 has 128 divisors (see below), whose sum is σ = 12058464000. Its totient is φ = 2015539200.

The previous prime is 5153625481. The next prime is 5153625517. The reversal of 5153625512 is 2155263515.

It is not an unprimeable number, because it can be changed into a prime (5153625517) 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, 4290512 + ... + 4291712.

It is an arithmetic number, because the mean of its divisors is an integer number (94206750).

Almost surely, 25153625512 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 5153625512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029232000).

5153625512 is an abundant number, since it is smaller than the sum of its proper divisors (6904838488).

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

5153625512 is a wasteful number, since it uses less digits than its factorization.

5153625512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1375 counting only the distinct ones).

The product of its digits is 45000, while the sum is 35.

The square root of 5153625512 is about 71788.7561669653. The cubic root of 5153625512 is about 1727.3126454698.

The spelling of 5153625512 in words is "five billion, one hundred fifty-three million, six hundred twenty-five thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 37 38 56 74 76 109 133 148 152 218 259 266 296 436 518 532 703 763 872 1036 1064 1201 1406 1526 2071 2072 2402 2812 3052 4033 4142 4804 4921 5624 6104 8066 8284 8407 9608 9842 14497 16132 16568 16814 19684 22819 28231 28994 32264 33628 39368 44437 45638 56462 57988 67256 76627 88874 91276 112924 115976 130909 153254 159733 177748 182552 225848 261818 306508 311059 319466 355496 523636 536389 613016 622118 638932 844303 916363 1047272 1072778 1244236 1277864 1688606 1832726 2145556 2487271 2488472 3377212 3665452 4291112 4843633 4974542 5910121 6754424 7330904 9687266 9949084 11820242 17410897 19374532 19898168 23640484 33905431 34821794 38749064 47280968 67810862 69643588 92029027 135621724 139287176 184058054 271243448 368116108 644203189 736232216 1288406378 2576812756 5153625512