Search a number
-
+
6463706038713 = 32721197137100267
BaseRepresentation
bin101111000001111001011…
…1001110000000110111001
3211212220221210021000000100
41132003302321300012321
51321400132221214323
621425215140430013
71234662442544400
oct136036271600671
924786853230010
106463706038713
112072273606620
128848620a8309
1337b6a9184721
14184bb8b18637
15b320863e943
hex5e0f2e701b9

6463706038713 has 144 divisors (see below), whose sum is σ = 12057769249344. Its totient is φ = 3298863697920.

The previous prime is 6463706038703. The next prime is 6463706038717. The reversal of 6463706038713 is 3178306073646.

It is not a de Polignac number, because 6463706038713 - 25 = 6463706038681 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6463706038713.

It is not an unprimeable number, because it can be changed into a prime (6463706038717) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64414806 + ... + 64515072.

It is an arithmetic number, because the mean of its divisors is an integer number (83734508676).

Almost surely, 26463706038713 is an apocalyptic number.

6463706038713 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6463706038713 is a deficient number, since it is larger than the sum of its proper divisors (5594063210631).

6463706038713 is a wasteful number, since it uses less digits than its factorization.

6463706038713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100532 (or 100522 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 6463706038713 in words is "six trillion, four hundred sixty-three billion, seven hundred six million, thirty-eight thousand, seven hundred thirteen".

Divisors: 1 3 7 9 11 21 33 49 63 77 97 99 137 147 231 291 411 441 539 679 693 873 959 1067 1233 1507 1617 2037 2877 3201 4521 4753 4851 6111 6713 7469 8631 9603 10549 13289 13563 14259 20139 22407 31647 39867 42777 52283 60417 67221 73843 93023 94941 100267 119601 146179 156849 221529 279069 300801 438537 470547 651161 664587 701869 837207 902403 1023253 1102937 1315611 1953483 2105607 3069759 3308811 4913083 5860449 6316821 7162771 7720559 9209277 9725899 9926433 13736579 14739249 21488313 23161677 29177697 41209737 44217747 54043913 64464939 68081293 69485031 87533091 96156053 106984889 123629211 151102369 162131739 204243879 288468159 320954667 453307107 476569051 486395217 612731637 673092371 748894223 865404477 962864001 1057716583 1332448163 1359921321 1429707153 2019277113 2246682669 3173149749 3997344489 4289121459 5242259561 6057831339 6740048007 7404016081 9327137141 9519449247 11992033467 14656929793 15726778683 22212048243 27981411423 43970789379 47180336049 65289959987 66636144729 83944234269 102598508551 131912368137 195869879961 307795525653 587609639883 718189559857 923386576959 2154568679571 6463706038713