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5004501656 = 23711194110429
BaseRepresentation
bin1001010100100101…
…01010001010011000
3110220202212000200012
410222102222022120
540222123023111
62144331501052
7235005363560
oct45222521230
913822760605
105004501656
112138a02190
12b77bb7788
13619a768ab
14356913da0
151e454548b
hex12a4aa298

5004501656 has 128 divisors (see below), whose sum is σ = 12616128000. Its totient is φ = 1801958400.

The previous prime is 5004501629. The next prime is 5004501659. The reversal of 5004501656 is 6561054005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004501659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474650 + ... + 485078.

It is an arithmetic number, because the mean of its divisors is an integer number (98563500).

Almost surely, 25004501656 is an apocalyptic number.

5004501656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5004501656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308064000).

5004501656 is an abundant number, since it is smaller than the sum of its proper divisors (7611626344).

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

5004501656 is a wasteful number, since it uses less digits than its factorization.

5004501656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 5004501656 is about 70742.5024719935. The cubic root of 5004501656 is about 1710.4889743079.

The spelling of 5004501656 in words is "five billion, four million, five hundred one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 41 44 56 76 77 82 88 133 152 154 164 209 266 287 308 328 418 451 532 574 616 779 836 902 1064 1148 1463 1558 1672 1804 2296 2926 3116 3157 3608 5453 5852 6232 6314 8569 10429 10906 11704 12628 17138 20858 21812 25256 34276 41716 43624 59983 68552 73003 83432 114719 119966 146006 198151 229438 239932 292012 396302 427589 458876 479864 584024 792604 803033 855178 917752 1387057 1585208 1606066 1710356 2179661 2774114 2993123 3212132 3420712 4359322 4703479 5548228 5986246 6424264 8124191 8718644 9406958 11096456 11972492 15257627 16248382 17437288 18813916 23944984 30515254 32496764 32924353 37627832 56869337 61030508 64993528 65848706 89366101 113738674 122061016 131697412 178732202 227477348 263394824 357464404 454954696 625562707 714928808 1251125414 2502250828 5004501656