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4161145604 = 2271143379829
BaseRepresentation
bin1111100000000110…
…0000101100000100
3101201222221002122212
43320001200230010
532010223124404
61524523442552
7205055103560
oct37001405404
911658832585
104161145604
111845949310
12981686458
13514123745
142b69006a0
151954a706e
hexf8060b04

4161145604 has 96 divisors (see below), whose sum is σ = 9325747200. Its totient is φ = 1577439360.

The previous prime is 4161145603. The next prime is 4161145619. The reversal of 4161145604 is 4065411614.

It is not an unprimeable number, because it can be changed into a prime (4161145601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5019062 + ... + 5019890.

It is an arithmetic number, because the mean of its divisors is an integer number (97143200).

Almost surely, 24161145604 is an apocalyptic number.

4161145604 is a gapful number since it is divisible by the number (44) 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 4161145604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662873600).

4161145604 is an abundant number, since it is smaller than the sum of its proper divisors (5164601596).

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

4161145604 is a wasteful number, since it uses less digits than its factorization.

4161145604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 4161145604 is about 64506.9422930587. The cubic root of 4161145604 is about 1608.4379232034.

The spelling of 4161145604 in words is "four billion, one hundred sixty-one million, one hundred forty-five thousand, six hundred four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 301 308 379 473 602 758 829 946 1204 1516 1658 1892 2653 3311 3316 4169 5306 5803 6622 8338 9119 10612 11606 13244 16297 16676 18238 23212 29183 32594 35647 36476 58366 63833 65188 71294 114079 116732 127666 142588 179267 228158 249529 255332 314191 358534 392117 456316 499058 628382 717068 784234 998116 1254869 1256764 1568468 2199337 2509738 2744819 3456101 4398674 5019476 5489638 6912202 8797348 10979276 13510213 13824404 24192707 27020426 48385414 54040852 94571491 96770828 148612343 189142982 297224686 378285964 594449372 1040286401 2080572802 4161145604