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5756998996575 = 32523711326323269
BaseRepresentation
bin101001111000110011111…
…1000010101001001011111
3202101100211011021120010100
41103301213320111021133
51223310313220342300
620124421232112143
71132633542031221
oct123614770251137
922340734246110
105756998996575
11191a5909379a2
1278b8b3395653
13329b623151c8
1415c8d6b56411
159eb4583a700
hex53c67e1525f

5756998996575 has 144 divisors (see below), whose sum is σ = 10724913650880. Its totient is φ = 2949593149440.

The previous prime is 5756998996559. The next prime is 5756998996579.

5756998996575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5756998996575 - 24 = 5756998996559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5756998996579) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 247399041 + ... + 247422309.

It is an arithmetic number, because the mean of its divisors is an integer number (74478567020).

Almost surely, 25756998996575 is an apocalyptic number.

5756998996575 is a deficient number, since it is larger than the sum of its proper divisors (4967914654305).

5756998996575 is a wasteful number, since it uses less digits than its factorization.

5756998996575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23698 (or 23690 counting only the distinct ones).

The product of its digits is 57868020000, while the sum is 90.

The spelling of 5756998996575 in words is "five trillion, seven hundred fifty-six billion, nine hundred ninety-eight million, nine hundred ninety-six thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 113 185 225 263 333 339 555 565 789 925 1017 1315 1665 1695 2367 2775 2825 3945 4181 5085 6575 8325 8475 9731 11835 12543 19725 20905 23269 25425 29193 29719 37629 48655 59175 62715 69807 87579 89157 104525 116345 145965 148595 188145 209421 243275 267471 313575 349035 437895 445785 581725 729825 742975 860953 940725 1047105 1099603 1337355 1745175 2189475 2228925 2582859 2629397 3298809 4304765 5235525 5498015 6119747 6686775 7748577 7888191 9896427 12914295 13146985 16494045 18359241 21523825 23664573 27490075 30598735 38742885 39440955 49482135 55077723 64571475 65734925 82470225 91796205 97287689 118322865 152993675 193714425 197204775 226430639 247410675 275388615 291863067 458981025 486438445 591614325 679291917 691531411 875589201 1132153195 1376943075 1459315335 2037875751 2074594233 2432192225 3396459585 3457657055 4377946005 5660765975 6223782699 7296576675 10189378755 10372971165 16982297925 17288285275 21889730025 25586662207 31118913495 50946893775 51864855825 76759986621 127933311035 155594567475 230279959863 383799933105 639666555175 1151399799315 1918999665525 5756998996575