Search a number
-
+
32997806604 = 22327732716619
BaseRepresentation
bin11110101110110100…
…101001001000001100
310011011200012020221100
4132232310221020030
51020034414302404
623054201303100
72245500504540
oct365664511014
9104150166840
1032997806604
1112aa3446554
12648aa94a90
13315b48c169
14185063da20
15cd1dd7d39
hex7aed2920c

32997806604 has 144 divisors (see below), whose sum is σ = 97004078080. Its totient is φ = 9263082240.

The previous prime is 32997806603. The next prime is 32997806641. The reversal of 32997806604 is 40660879923.

It is a happy number.

32997806604 is a `hidden beast` number, since 3 + 29 + 9 + 7 + 8 + 0 + 6 + 604 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (32997806603) by changing a digit.

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, 4982007 + ... + 4988625.

Almost surely, 232997806604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32997806604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48502039040).

32997806604 is an abundant number, since it is smaller than the sum of its proper divisors (64006271476).

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

32997806604 is a wasteful number, since it uses less digits than its factorization.

32997806604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 32997806604 in words is "thirty-two billion, nine hundred ninety-seven million, eight hundred six thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 271 292 438 511 542 657 813 876 1022 1084 1314 1533 1626 1897 2044 2439 2628 3066 3252 3794 4599 4878 5691 6132 6619 7588 9198 9756 11382 13238 17073 18396 19783 19857 22764 26476 34146 39566 39714 46333 59349 59571 68292 79132 79428 92666 118698 119142 138481 138999 178047 185332 237396 238284 276962 277998 356094 415443 416997 483187 553924 555996 712188 830886 833994 966374 1246329 1449561 1661772 1667988 1793749 1932748 2492658 2899122 3382309 3587498 4348683 4985316 5381247 5798244 6764618 7174996 8697366 10146927 10762494 12556243 13529236 16143741 17394732 20293854 21524988 25112486 30440781 32287482 37668729 40587708 50224972 60881562 64574964 75337458 113006187 121763124 130943677 150674916 226012374 261887354 392831031 452024748 523774708 785662062 916605739 1178493093 1571324124 1833211478 2356986186 2749817217 3666422956 4713972372 5499634434 8249451651 10999268868 16498903302 32997806604