Search a number
-
+
32126104616442 = 23109823460312967
BaseRepresentation
bin1110100110111111100010…
…00011011011110111111010
311012202020002110121212101220
413103133301003123313322
513202323230240211232
6152154310111452510
76524014551425244
oct723376103336772
9135666073555356
1032126104616442
11a266671591711
12372a307527136
1314c062b825555
147d0ca9c25094
153aaa18b5c42c
hex1d37f10dbdfa

32126104616442 has 64 divisors (see below), whose sum is σ = 64939577640960. Its totient is φ = 10594444745664.

The previous prime is 32126104616369. The next prime is 32126104616443. The reversal of 32126104616442 is 24461640162123.

It is a junction number, because it is equal to n+sod(n) for n = 32126104616394 and 32126104616403.

It is not an unprimeable number, because it can be changed into a prime (32126104616443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2477521443 + ... + 2477534409.

It is an arithmetic number, because the mean of its divisors is an integer number (1014680900640).

Almost surely, 232126104616442 is an apocalyptic number.

32126104616442 is an abundant number, since it is smaller than the sum of its proper divisors (32813473024518).

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

32126104616442 is a wasteful number, since it uses less digits than its factorization.

32126104616442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18507.

The product of its (nonzero) digits is 331776, while the sum is 42.

Adding to 32126104616442 its reverse (24461640162123), we get a palindrome (56587744778565).

The spelling of 32126104616442 in words is "thirty-two trillion, one hundred twenty-six billion, one hundred four million, six hundred sixteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 109 218 327 654 823 1646 2469 4603 4938 9206 12967 13809 25934 27618 38901 77802 89707 179414 269121 501727 538242 1003454 1413403 1505181 2826806 3010362 3788269 4240209 7576538 8480418 10671841 11364807 21343682 22729614 32015523 59687101 64031046 119374202 179061303 358122606 412921321 825842642 1163230669 1238763963 2326461338 2477527926 3489692007 6505894009 6979384014 13011788018 19517682027 39035364054 49122484123 98244968246 147367452369 294734904738 5354350769407 10708701538814 16063052308221 32126104616442