Search a number
-
+
330996571044 = 223178920398941
BaseRepresentation
bin1001101000100001110…
…11101101101110100100
31011122100201102222120220
410310100323231232210
520410340110233134
6412020245124340
732625255301206
oct4642073555644
91148321388526
10330996571044
11118413a31967
12541960b96b0
132529c8001c9
141203da84776
158923a3d149
hex4d10eedba4

330996571044 has 96 divisors (see below), whose sum is σ = 827442604800. Its totient is φ = 102613463040.

The previous prime is 330996570991. The next prime is 330996571069. The reversal of 330996571044 is 440175699033.

330996571044 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37015614 + ... + 37024554.

It is an arithmetic number, because the mean of its divisors is an integer number (8619193800).

Almost surely, 2330996571044 is an apocalyptic number.

330996571044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330996571044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413721302400).

330996571044 is an abundant number, since it is smaller than the sum of its proper divisors (496446033756).

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

330996571044 is a wasteful number, since it uses less digits than its factorization.

330996571044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11093 (or 11091 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 330996571044 in words is "three hundred thirty billion, nine hundred ninety-six million, five hundred seventy-one thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 356 534 1068 1513 2039 3026 4078 4539 6052 6117 8156 8941 9078 12234 17882 18156 24468 26823 34663 35764 53646 69326 103989 107292 138652 151997 181471 207978 303994 362942 415956 455991 544413 607988 725884 795749 911982 1088826 1591498 1823964 2177652 2387247 3085007 3182996 4774494 6170014 9255021 9548988 12340028 13527733 18230699 18510042 27055466 36461398 37020084 40583199 54110932 54692097 72922796 81166398 109384194 162332796 218768388 309921883 619843766 929765649 1239687532 1622532211 1859531298 3245064422 3719062596 4867596633 6490128844 9735193266 19470386532 27583047587 55166095174 82749142761 110332190348 165498285522 330996571044