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7680484350 = 23252711221659
BaseRepresentation
bin1110010011100101…
…01110001111111110
3201211021012000211100
413021302232033332
5111212200444400
63310043233530
7361221016440
oct71162561776
921737160740
107680484350
113291484630
1215a42188a6
139552a14c6
1452c094490
152ee434100
hex1c9cae3fe

7680484350 has 144 divisors (see below), whose sum is σ = 25726746240. Its totient is φ = 1595937600.

The previous prime is 7680484313. The next prime is 7680484363. The reversal of 7680484350 is 534840867.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 7680484296 and 7680484305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76180 + ... + 145479.

It is an arithmetic number, because the mean of its divisors is an integer number (178657960).

Almost surely, 27680484350 is an apocalyptic number.

7680484350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7680484350 is an abundant number, since it is smaller than the sum of its proper divisors (18046261890).

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

7680484350 is a wasteful number, since it uses less digits than its factorization.

7680484350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221695 (or 221687 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7680484350 is about 87638.3725887239. The cubic root of 7680484350 is about 1973.0111346278.

The spelling of 7680484350 in words is "seven billion, six hundred eighty million, four hundred eighty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 126 150 154 165 175 198 210 225 231 275 315 330 350 385 450 462 495 525 550 630 693 770 825 990 1050 1155 1386 1575 1650 1925 2310 2475 3150 3465 3850 4950 5775 6930 11550 17325 34650 221659 443318 664977 1108295 1329954 1551613 1994931 2216590 2438249 3103226 3324885 3989862 4654839 4876498 5541475 6649770 7314747 7758065 9309678 9974655 11082950 12191245 13964517 14629494 15516130 16624425 17067743 19949310 21944241 23274195 24382490 27929034 33248850 34135486 36573735 38790325 43888482 46548390 49873275 51203229 60956225 69822585 73147470 77580650 85338715 99746550 102406458 109721205 116370975 121912450 139645170 153609687 170677430 182868675 219442410 232741950 256016145 307219374 349112925 365737350 426693575 512032290 548606025 698225850 768048435 853387150 1097212050 1280080725 1536096870 2560161450 3840242175 7680484350