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35780428607 = 71119232937991
BaseRepresentation
bin100001010100101011…
…100000001100111111
310102100121012002201112
4201110223200030333
51041234242203412
624234242432235
72404446424250
oct412453401477
9112317162645
1035780428607
11141a1134660
126b2696267b
1334b2b13561
141a3601cb27
15de633d722
hex854ae033f

35780428607 has 128 divisors (see below), whose sum is σ = 52110950400. Its totient is φ = 23710579200.

The previous prime is 35780428589. The next prime is 35780428609. The reversal of 35780428607 is 70682408753.

It is not a de Polignac number, because 35780428607 - 28 = 35780428351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35780428609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36104882 + ... + 36105872.

It is an arithmetic number, because the mean of its divisors is an integer number (407116800).

Almost surely, 235780428607 is an apocalyptic number.

35780428607 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

35780428607 is a deficient number, since it is larger than the sum of its proper divisors (16330521793).

35780428607 is a wasteful number, since it uses less digits than its factorization.

35780428607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117.

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 35780428607 in words is "thirty-five billion, seven hundred eighty million, four hundred twenty-eight thousand, six hundred seven".

Divisors: 1 7 11 19 23 29 37 77 133 161 203 209 253 259 319 407 437 551 667 703 851 991 1073 1463 1771 2233 2849 3059 3857 4669 4807 4921 5957 6061 6937 7337 7511 7733 9361 10901 11803 12673 16169 18829 20387 22793 24679 28739 33649 36667 42427 51359 54131 65527 76307 82621 88711 113183 131803 139403 142709 159551 172753 177859 201173 207119 224257 250723 256669 271469 316129 403337 433067 468901 546041 660997 696673 843341 975821 1063343 1245013 1449833 1569799 1755061 1900283 2212903 2823359 3031469 3282307 3822287 4626979 4763737 4876711 5157911 5903387 6006451 7270967 7443401 7663403 9276751 11696773 12558943 16023479 20203517 24456889 33346159 36105377 42045157 50896769 53643821 64937257 81877411 87912601 112164353 138148373 141424619 171198223 176258269 222238687 269025779 464680891 967038611 1233807883 1555670809 1883180453 3252766237 5111489801 35780428607