Search a number
-
+
332491486704 = 243131078296007
BaseRepresentation
bin1001101011010100000…
…10010111010111110000
31011210012220101120100120
410311222002113113300
520421420310033304
6412424450250240
733010310001666
oct4655202272760
91153186346316
10332491486704
1111901085a153
1254532886980
132547a4321a0
1412142422c36
1589aedd10d9
hex4d6a0975f0

332491486704 has 160 divisors (see below), whose sum is σ = 934935160320. Its totient is φ = 101209844736.

The previous prime is 332491486703. The next prime is 332491486721. The reversal of 332491486704 is 407684194233.

It is a happy number.

It is a super-2 number, since 2×3324914867042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332491486703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55347669 + ... + 55353675.

It is an arithmetic number, because the mean of its divisors is an integer number (5843344752).

Almost surely, 2332491486704 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 332491486704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467467580160).

332491486704 is an abundant number, since it is smaller than the sum of its proper divisors (602443673616).

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

332491486704 is a wasteful number, since it uses less digits than its factorization.

332491486704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 332491486704 in words is "three hundred thirty-two billion, four hundred ninety-one million, four hundred eighty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 624 642 829 856 1284 1391 1658 1712 2487 2568 2782 3316 4173 4974 5136 5564 6007 6632 8346 9948 10777 11128 12014 13264 16692 18021 19896 21554 22256 24028 32331 33384 36042 39792 43108 48056 64662 66768 72084 78091 86216 88703 96112 129324 144168 156182 172432 177406 234273 258648 266109 288336 312364 354812 468546 517296 532218 624728 642749 709624 937092 1064436 1153139 1249456 1285498 1419248 1874184 1928247 2128872 2306278 2570996 3459417 3748368 3856494 4257744 4612556 4979803 5141992 6918834 7712988 8355737 9225112 9959606 10283984 13837668 14939409 15425976 16711474 18450224 19919212 25067211 27675336 29878818 30851952 33422948 39838424 50134422 55350672 59757636 64737439 66845896 79676848 100268844 119515272 129474878 133691792 194212317 200537688 239030544 258949756 388424634 401075376 517899512 532838921 776849268 1035799024 1065677842 1553698536 1598516763 2131355684 3107397072 3197033526 4262711368 6394067052 6926905973 8525422736 12788134104 13853811946 20780717919 25576268208 27707623892 41561435838 55415247784 83122871676 110830495568 166245743352 332491486704