Search a number
-
+
480536766460355 = 511177927782328537
BaseRepresentation
bin110110101000010111010111…
…1010001000011000111000011
32100000102212101110220120000012
41231100232233101003013003
51000441103244203212410
64422003313135415135
7203134431016513013
oct15520565721030703
92300385343816005
10480536766460355
1112a128553110060
1245a8b2b29844ab
13178195656ca607
148694164393c43
153a84ce635b605
hex1b50baf4431c3

480536766460355 has 128 divisors (see below), whose sum is σ = 677782778388480. Its totient is φ = 323183048048640.

The previous prime is 480536766460277. The next prime is 480536766460369. The reversal of 480536766460355 is 553064667635084.

It is not a de Polignac number, because 480536766460355 - 240 = 479437254832579 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16839063647 + ... + 16839092183.

It is an arithmetic number, because the mean of its divisors is an integer number (5295177956160).

Almost surely, 2480536766460355 is an apocalyptic number.

480536766460355 is a deficient number, since it is larger than the sum of its proper divisors (197246011928125).

480536766460355 is a wasteful number, since it uses less digits than its factorization.

480536766460355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29749.

The product of its (nonzero) digits is 1306368000, while the sum is 68.

The spelling of 480536766460355 in words is "four hundred eighty trillion, five hundred thirty-six billion, seven hundred sixty-six million, four hundred sixty thousand, three hundred fifty-five".

Divisors: 1 5 11 17 55 79 85 187 277 395 823 869 935 1343 1385 3047 4115 4345 4709 6715 9053 13991 14773 15235 21883 23545 28537 45265 51799 65017 69955 73865 109415 142685 153901 227971 240713 258995 313907 325085 372011 485129 715187 769505 1105289 1139855 1203565 1569535 1860055 2254423 2425645 2507681 3575935 3875507 4092121 5336419 5526445 7904749 11272115 12158179 12538405 18009709 19377535 20460605 23485951 24798653 26682095 38325191 39523745 42630577 60790895 86952239 90048545 117429755 123993265 134380733 191625955 198106799 213152885 258345461 306165053 399261167 421577101 434761195 624475171 671903665 990533995 1291727305 1478188063 1530825265 1855390129 1996305835 2107885505 3122375855 3367815583 4391872837 6505608427 6869226881 7390940315 9276950645 10616077907 16839077915 20409291419 21959364185 31541632193 32528042135 34346134405 53080389535 71561692697 102046457095 110595343259 116776856977 157708160965 346957954123 357808463485 513943065733 552976716295 583884284885 1216548775849 1734789770615 2569715328665 5653373723063 6082743879245 8737032117461 28266868615315 43685160587305 96107353292071 480536766460355