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6134069808405 = 3257112307524221
BaseRepresentation
bin101100101000011001100…
…0011010100110100010101
3210201102002212112111002200
41121100303003110310111
51301000033332332110
621013541444155113
71202112653040150
oct131206303246425
923642085474080
106134069808405
111a55498545900
128309a7698a99
13356595458586
14172c679c0c97
15a98642606c0
hex594330d4d15

6134069808405 has 144 divisors (see below), whose sum is σ = 13399919524992. Its totient is φ = 2540915308800.

The previous prime is 6134069808371. The next prime is 6134069808407. The reversal of 6134069808405 is 5048089604316.

6134069808405 is a `hidden beast` number, since 61 + 3 + 40 + 69 + 80 + 8 + 405 = 666.

6134069808405 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6134069808405 - 26 = 6134069808341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6134069808407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11439195 + ... + 11963415.

Almost surely, 26134069808405 is an apocalyptic number.

It is an amenable number.

6134069808405 is an abundant number, since it is smaller than the sum of its proper divisors (7265849716587).

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

6134069808405 is a wasteful number, since it uses less digits than its factorization.

6134069808405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524568 (or 524554 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6134069808405 in words is "six trillion, one hundred thirty-four billion, sixty-nine million, eight hundred eight thousand, four hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 165 231 307 315 363 385 495 605 693 847 921 1089 1155 1535 1815 2149 2541 2763 3377 3465 4235 4605 5445 6447 7623 10131 10745 12705 13815 16885 19341 23639 30393 32235 37147 38115 50655 70917 96705 111441 118195 151965 185735 212751 260029 334323 354585 524221 557205 780087 1063755 1300145 1572663 1671615 2340261 2621105 3669547 3900435 4717989 5766431 7863315 11008641 11701305 17299293 18347735 23589945 28832155 33025923 40365017 51897879 55043205 63430741 86496465 121095051 160935847 165129615 190292223 201825085 259489395 317153705 363285153 444015187 482807541 570876669 605475255 804679235 951461115 1126550929 1332045561 1448422623 1770294317 1816425765 2220075935 2414037705 2854383345 3379652787 3996136683 5310882951 5632754645 6660227805 7242113115 8851471585 10138958361 12392060219 15932648853 16898263935 19473237487 19980683415 26554414755 37176180657 50694791805 58419712461 61960301095 79663244265 97366187435 111528541971 136312662409 175259137383 185880903285 292098562305 408937987227 557642709855 681563312045 876295686915 1226813961681 2044689936135 6134069808405