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5076996705 = 3351117832423
BaseRepresentation
bin1001011101001110…
…01101001001100001
3111002211021011012000
410232213031021201
540344202343310
62155441354213
7236545521444
oct45647151141
914084234160
105076996705
112175917850
12b98338969
1362baa9c81
143623c565b
151eaab54c0
hex12e9cd261

5076996705 has 128 divisors (see below), whose sum is σ = 10555453440. Its totient is φ = 2287918080.

The previous prime is 5076996703. The next prime is 5076996719.

5076996705 is a `hidden beast` number, since 507 + 69 + 9 + 6 + 70 + 5 = 666.

5076996705 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5076996705 - 21 = 5076996703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5076996703) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2094124 + ... + 2096546.

It is an arithmetic number, because the mean of its divisors is an integer number (82464480).

Almost surely, 25076996705 is an apocalyptic number.

5076996705 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5076996705 is an abundant number, since it is smaller than the sum of its proper divisors (5478456735).

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

5076996705 is a wasteful number, since it uses less digits than its factorization.

5076996705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The square root of 5076996705 is about 71253.0469874798. The cubic root of 5076996705 is about 1718.7087732172.

The spelling of 5076996705 in words is "five billion, seventy-six million, nine hundred ninety-six thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 83 85 99 135 153 165 187 249 255 297 415 459 495 561 747 765 913 935 1245 1411 1485 1683 2241 2295 2423 2739 2805 3735 4233 4565 5049 7055 7269 8217 8415 11205 12115 12699 13695 15521 21165 21807 24651 25245 26653 36345 38097 41085 41191 46563 63495 65421 77605 79959 109035 123255 123573 133265 139689 190485 201109 205955 232815 239877 327105 370719 399795 419067 453101 603327 617865 698445 719631 1005545 1112157 1199385 1359303 1809981 1853595 2095335 2212199 2265505 3016635 3418853 3598155 4077909 5429943 5560785 6636597 6796515 9049905 10256559 11060995 12233727 17094265 19909791 20389545 27149715 30769677 33182985 37607383 51282795 59729373 61168635 92309031 99548955 112822149 153848385 188036915 298646865 338466447 461545155 564110745 1015399341 1692332235 5076996705