Search a number
-
+
32378456082 = 2372615093547
BaseRepresentation
bin11110001001111010…
…000000100000010010
310002120111202222202010
4132021322000200102
51012302341043312
622512514403350
72224240223100
oct361172004022
9102514688663
1032378456082
1112805881315
126337590556
13309007996b
1417d229ac70
15c9784693c
hex789e80812

32378456082 has 96 divisors (see below), whose sum is σ = 76736427840. Its totient is φ = 9078894720.

The previous prime is 32378456039. The next prime is 32378456119. The reversal of 32378456082 is 28065487323.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9126633 + ... + 9130179.

It is an arithmetic number, because the mean of its divisors is an integer number (799337790).

Almost surely, 232378456082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32378456082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38368213920).

32378456082 is an abundant number, since it is smaller than the sum of its proper divisors (44357971758).

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

32378456082 is a wasteful number, since it uses less digits than its factorization.

32378456082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 32378456082 in words is "thirty-two billion, three hundred seventy-eight million, four hundred fifty-six thousand, eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 509 854 1018 1281 1527 2562 2989 3054 3547 3563 5978 7094 7126 8967 10641 10689 17934 21282 21378 24829 24941 31049 49658 49882 62098 74487 74823 93147 148974 149646 173803 186294 216367 217343 347606 432734 434686 521409 649101 652029 1042818 1298202 1304058 1514569 1521401 1805423 3029138 3042802 3610846 4543707 4564203 5416269 9087414 9128406 10601983 10832538 12637961 21203966 25275922 31805949 37913883 63611898 75827766 88465727 110130803 176931454 220261606 265397181 330392409 530794362 660784818 770915621 1541831242 2312746863 4625493726 5396409347 10792818694 16189228041 32378456082