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32104132434 = 2341172724781
BaseRepresentation
bin11101111001100011…
…100010111101010010
310001212101120220110000
4131321203202331102
51011222124214214
622425354550430
72214366423513
oct357143427522
9101771526400
1032104132434
1112684a44960
12627b738416
13304829bb8a
1417a7a8ca0a
15c7d70a809
hex7798e2f52

32104132434 has 80 divisors (see below), whose sum is σ = 78587885376. Its totient is φ = 9714751200.

The previous prime is 32104132427. The next prime is 32104132441. The reversal of 32104132434 is 43423140123.

32104132434 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 413 + 243 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (32104132427) and next prime (32104132441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32104132398 and 32104132407.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1283124 + ... + 1307904.

Almost surely, 232104132434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32104132434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39293942688).

32104132434 is an abundant number, since it is smaller than the sum of its proper divisors (46483752942).

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

32104132434 is a wasteful number, since it uses less digits than its factorization.

32104132434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25533 (or 25524 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32104132434 its reverse (43423140123), we get a palindrome (75527272557).

The spelling of 32104132434 in words is "thirty-two billion, one hundred four million, one hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 727 891 1454 1782 2181 4362 6543 7997 13086 15994 19629 23991 24781 39258 47982 49562 58887 71973 74343 117774 143946 148686 215919 223029 272591 431838 446058 545182 647757 669087 817773 1295514 1338174 1635546 2007261 2453319 4014522 4906638 7359957 14719914 18015787 22079871 36031574 44159742 54047361 108094722 162142083 198173657 324284166 396347314 486426249 594520971 972852498 1189041942 1459278747 1783562913 2918557494 3567125826 5350688739 10701377478 16052066217 32104132434