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5077101435 = 357319167311
BaseRepresentation
bin1001011101001111…
…00110101101111011
3111002211110110211220
410232213212231323
540344214221220
62155443523123
7236546436000
oct45647465573
914084413756
105077101435
1121759894aa
12b983894a3
1362bb15843
143624118a7
151eaad6540
hex12e9e6b7b

5077101435 has 128 divisors (see below), whose sum is σ = 10063872000. Its totient is φ = 2178610560.

The previous prime is 5077101401. The next prime is 5077101439. The reversal of 5077101435 is 5341017705.

It is not a de Polignac number, because 5077101435 - 217 = 5076970363 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5077101396 and 5077101405.

It is not an unprimeable number, because it can be changed into a prime (5077101439) 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, 16324930 + ... + 16325240.

It is an arithmetic number, because the mean of its divisors is an integer number (78624000).

Almost surely, 25077101435 is an apocalyptic number.

5077101435 is a deficient number, since it is larger than the sum of its proper divisors (4986770565).

5077101435 is a wasteful number, since it uses less digits than its factorization.

5077101435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 5077101435 is about 71253.7818996297. The cubic root of 5077101435 is about 1718.7205911706.

The spelling of 5077101435 in words is "five billion, seventy-seven million, one hundred one thousand, four hundred thirty-five".

Divisors: 1 3 5 7 15 19 21 35 49 57 95 105 133 147 167 245 285 311 343 399 501 665 735 835 931 933 1029 1169 1555 1715 1995 2177 2505 2793 3173 3507 4655 4665 5145 5845 5909 6517 6531 8183 9519 10885 13965 15239 15865 17535 17727 19551 22211 24549 29545 32585 32655 40915 41363 45717 47595 51937 57281 66633 76195 88635 97755 106673 111055 122745 124089 155477 155811 171843 206815 228585 259685 286405 289541 320019 333165 363559 466431 533365 620445 777385 779055 859215 868623 986803 1088339 1090677 1447705 1600095 1817795 2026787 2332155 2544913 2960409 3265017 4343115 4934015 5441695 5453385 6080361 6907621 7634739 10133935 12724565 14802045 16325085 17814391 20722863 30401805 34538105 38173695 48353347 53443173 89071955 103614315 145060041 241766735 267215865 338473429 725300205 1015420287 1692367145 5077101435