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32104122426 = 232191732811931
BaseRepresentation
bin11101111001100011…
…100000100000111010
310001212101120101201100
4131321203200200322
51011222123404201
622425354432230
72214366352365
oct357143404072
9101771511640
1032104122426
1112684a38392
12627b732676
13304829745c
1417a7a890dc
15c7d707886
hex7798e083a

32104122426 has 96 divisors (see below), whose sum is σ = 73943513280. Its totient is φ = 10038470400.

The previous prime is 32104122409. The next prime is 32104122431. The reversal of 32104122426 is 62422140123.

32104122426 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 412 + 242 + 6 = 666.

It is a super-2 number, since 2×321041224262 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32104122426.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16624681 + ... + 16626611.

It is an arithmetic number, because the mean of its divisors is an integer number (770244930).

Almost surely, 232104122426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32104122426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36971756640).

32104122426 is an abundant number, since it is smaller than the sum of its proper divisors (41839390854).

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

32104122426 is a wasteful number, since it uses less digits than its factorization.

32104122426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 32104122426 its reverse (62422140123), we get a palindrome (94526262549).

The spelling of 32104122426 in words is "thirty-two billion, one hundred four million, one hundred twenty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 173 281 342 346 519 562 843 1038 1557 1686 1931 2529 3114 3287 3862 5058 5339 5793 6574 9861 10678 11586 16017 17379 19722 29583 32034 34758 36689 48051 48613 59166 73378 96102 97226 110067 145839 220134 291678 330201 334063 437517 542611 660402 668126 875034 923647 1002189 1085222 1627833 1847294 2004378 2770941 3006567 3255666 4883499 5541882 6013134 6347197 8312823 9766998 10309609 12694394 16625646 19041591 20619218 30928827 38083182 57124773 61857654 92786481 93871703 114249546 185572962 187743406 281615109 563230218 844845327 1689690654 1783562357 3567124714 5350687071 10701374142 16052061213 32104122426