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5057968302 = 23219371972029
BaseRepresentation
bin1001011010111101…
…00111100010101110
3111001111110102010100
410231132213202232
540324314441202
62153521451530
7236225010162
oct45536474256
914044412110
105057968302
1121661004a2
12b91aa0ba6
13627b76b6a
1435da70ca2
151e90a741c
hex12d7a78ae

5057968302 has 96 divisors (see below), whose sum is σ = 11913501600. Its totient is φ = 1545433344.

The previous prime is 5057968297. The next prime is 5057968313. The reversal of 5057968302 is 2038697505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491824 + ... + 2493852.

It is an arithmetic number, because the mean of its divisors is an integer number (124098975).

Almost surely, 25057968302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5057968302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956750800).

5057968302 is an abundant number, since it is smaller than the sum of its proper divisors (6855533298).

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

5057968302 is a wasteful number, since it uses less digits than its factorization.

5057968302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5057968302 is about 71119.3946965242. The cubic root of 5057968302 is about 1716.5588652742.

The spelling of 5057968302 in words is "five billion, fifty-seven million, nine hundred sixty-eight thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 197 222 333 342 394 591 666 703 1182 1406 1773 2029 2109 3546 3743 4058 4218 6087 6327 7289 7486 11229 12174 12654 14578 18261 21867 22458 33687 36522 38551 43734 65601 67374 75073 77102 115653 131202 138491 150146 225219 231306 276982 346959 399713 415473 450438 675657 693918 799426 830946 1199139 1246419 1351314 1426387 2398278 2492838 2852774 3597417 4279161 7194834 7594547 8558322 12837483 14789381 15189094 22783641 25674966 29578762 44368143 45567282 68350923 88736286 133104429 136701846 266208858 280998239 561996478 842994717 1685989434 2528984151 5057968302