Search a number
-
+
13259983601007 = 351113621761379
BaseRepresentation
bin1100000011110101010010…
…0111001011110101101111
31201221122100001111212100000
43000331110213023311233
53214222421300213012
644111315151235343
72536000516632543
oct300752447136557
951848301455300
1013259983601007
114252589068170
1215a1a59818b53
13752546212410
1433bb0272ba23
1517edc8bbeddc
hexc0f549cbd6f

13259983601007 has 96 divisors (see below), whose sum is σ = 23339323687680. Its totient is φ = 7416858597120.

The previous prime is 13259983600951. The next prime is 13259983601009. The reversal of 13259983601007 is 70010638995231.

13259983601007 is a `hidden beast` number, since 1 + 3 + 2 + 599 + 8 + 36 + 0 + 10 + 0 + 7 = 666.

It is not a de Polignac number, because 13259983601007 - 216 = 13259983535471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13259983601009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216003844 + ... + 216065222.

It is an arithmetic number, because the mean of its divisors is an integer number (243117955080).

Almost surely, 213259983601007 is an apocalyptic number.

13259983601007 is a deficient number, since it is larger than the sum of its proper divisors (10079340086673).

13259983601007 is a wasteful number, since it uses less digits than its factorization.

13259983601007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67635 (or 67623 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 13259983601007 in words is "thirteen trillion, two hundred fifty-nine billion, nine hundred eighty-three million, six hundred one thousand, seven".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 243 297 351 429 891 1053 1287 2673 3159 3861 6217 11583 18651 34749 55953 61379 68387 80821 167859 184137 205161 242463 503577 552411 615483 675169 727389 797927 889031 1510731 1657233 1846449 2025507 2182167 2393781 2667093 4971699 5539347 6076521 6546501 7181343 8001279 8777197 14915097 16618041 18229563 19639503 21544029 24003837 26331591 54688689 64632087 72011511 78994773 164066067 193896261 216034533 236984319 381593243 710952957 1144779729 2132858871 3434339187 4197525673 4960712159 10303017561 12592577019 14882136477 30909052683 37777731057 44646409431 54567833749 92727158049 113333193171 133939228293 163703501247 339999579513 401817684879 491110503741 1019998738539 1205453054637 1473331511223 4419994533669 13259983601007