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132214466464206 = 237171429277746663
BaseRepresentation
bin11110000011111110010100…
…010011101100100111001110
3122100010120122111100100101220
4132003332110103230213032
5114312200211403323311
61145110253135344210
736564115506113160
oct3603762423544716
9570116574310356
10132214466464206
1139144927549955
12129b4071382066
1358a0a0328a1c9
14249130014c930
151044305a70206
hex783f944ec9ce

132214466464206 has 128 divisors (see below), whose sum is σ = 320327320135680. Its totient is φ = 35515035021312.

The previous prime is 132214466464183. The next prime is 132214466464207. The reversal of 132214466464206 is 602464664412231.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214466464207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2833366431 + ... + 2833413093.

It is an arithmetic number, because the mean of its divisors is an integer number (2502557188560).

Almost surely, 2132214466464206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132214466464206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160163660067840).

132214466464206 is an abundant number, since it is smaller than the sum of its proper divisors (188112853671474).

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

132214466464206 is a wasteful number, since it uses less digits than its factorization.

132214466464206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50898.

The product of its (nonzero) digits is 7962624, while the sum is 51.

The spelling of 132214466464206 in words is "one hundred thirty-two trillion, two hundred fourteen billion, four hundred sixty-six million, four hundred sixty-four thousand, two hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1429 2777 2858 4287 5554 8331 8574 10003 16662 19439 20006 24293 30009 38878 46663 47209 48586 58317 60018 72879 93326 94418 116634 139989 141627 145758 170051 279978 283254 326641 330463 340102 510153 653282 660926 793271 979923 991389 1020306 1586542 1959846 1982778 2379813 3968333 4759626 5552897 7936666 11105794 11904999 16658691 23809998 27778331 33317382 55556662 66681427 67461661 83334993 129583151 133362854 134923322 166669986 200044281 202384983 259166302 388749453 400088562 404769966 466769989 472231627 777498906 907082057 933539978 944463254 1133584259 1400309967 1416694881 1814164114 2202913567 2267168518 2721246171 2800619934 2833389762 3400752777 4405827134 5442492342 6608740701 6801505554 7935089813 13217481402 15420394969 15870179626 23805269439 30840789938 46261184907 47610538878 92522369814 185174322779 370348645558 555522968337 1111045936674 1296220259453 2592440518906 3147963487243 3888660778359 6295926974486 7777321556718 9443890461729 18887780923458 22035744410701 44071488821402 66107233232103 132214466464206