Search a number
-
+
678328486353 = 3277711289
BaseRepresentation
bin10011101111011111000…
…01110100100111010001
32101211212212201102211100
421313233201310213101
542103204043030403
61235341513335013
7100002420000000
oct11675741644721
92354785642740
10678328486353
1124174a823741
12ab56aa07469
134bc736aaa9b
1424b8d030c37
15129a17132a3
hex9def8749d1

678328486353 has 96 divisors (see below), whose sum is σ = 1160108352000. Its totient is φ = 381860418240.

The previous prime is 678328486349. The next prime is 678328486361. The reversal of 678328486353 is 353684823876.

678328486353 is a `hidden beast` number, since 6 + 7 + 83 + 28 + 486 + 3 + 53 = 666.

It is not a de Polignac number, because 678328486353 - 22 = 678328486349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Leyland number of the form 147 + 714.

It is not an unprimeable number, because it can be changed into a prime (678328486153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526243333 + ... + 526244621.

It is an arithmetic number, because the mean of its divisors is an integer number (12084462000).

Almost surely, 2678328486353 is an apocalyptic number.

678328486353 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

678328486353 is a deficient number, since it is larger than the sum of its proper divisors (481779865647).

678328486353 is an frugal number, since it uses more digits than its factorization.

678328486353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1370 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 678328486353 in words is "six hundred seventy-eight billion, three hundred twenty-eight million, four hundred eighty-six thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 49 63 71 147 213 343 441 497 639 1029 1289 1491 2401 3087 3479 3867 4473 7203 9023 10437 11601 16807 21609 24353 27069 31311 50421 63161 73059 81207 91519 117649 151263 170471 189483 219177 274557 352947 442127 511413 568449 640633 823543 823671 1058841 1193297 1326381 1534239 1921899 2470629 3094889 3579891 3979143 4484431 5765697 7411887 8353079 9284667 10739673 13453293 21664223 25059237 27854001 31391017 40359879 58471553 64992669 75177711 94173051 151649561 175414659 194978007 219737119 282519153 454948683 526243977 659211357 1061546927 1364846049 1538159833 1977634071 3184640781 4614479499 9553922343 10767118831 13843438497 32301356493 75369831817 96904069479 226109495451 678328486353