Search a number
-
+
7161651431304 = 23337127241126339
BaseRepresentation
bin110100000110111001110…
…1100001000011110001000
3221100122110210122112020120
41220031303230020132020
51414314030231300204
623122003420423240
71336261253522016
oct150156354103610
927318423575216
107161651431304
11231126a590267
12977b866a7b20
133cc457a67a26
141aa8a91cb8b6
15c64571496d9
hex68373b08788

7161651431304 has 128 divisors (see below), whose sum is σ = 18541202227200. Its totient is φ = 2303365559040.

The previous prime is 7161651431293. The next prime is 7161651431323. The reversal of 7161651431304 is 4031341561617.

It is a super-2 number, since 2×71616514313042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 271889767 + ... + 271916105.

It is an arithmetic number, because the mean of its divisors is an integer number (144853142400).

Almost surely, 27161651431304 is an apocalyptic number.

7161651431304 is a gapful number since it is divisible by the number (74) 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 7161651431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9270601113600).

7161651431304 is an abundant number, since it is smaller than the sum of its proper divisors (11379550795896).

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

7161651431304 is a wasteful number, since it uses less digits than its factorization.

7161651431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28923 (or 28919 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 7161651431304 in words is "seven trillion, one hundred sixty-one billion, six hundred fifty-one million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 127 148 222 254 296 381 444 508 762 888 1016 1524 2411 3048 4699 4822 7233 9398 9644 14097 14466 18796 19288 26339 28194 28932 37592 52678 56388 57864 79017 89207 105356 112776 158034 178414 210712 267621 306197 316068 356828 535242 612394 632136 713656 918591 974543 1070484 1224788 1837182 1949086 2140968 2449576 2923629 3345053 3674364 3898172 5847258 6690106 7348728 7796344 10035159 11329289 11694516 13380212 20070318 22658578 23389032 26760424 33987867 40140636 45317156 63503329 67975734 80281272 90634312 123766961 127006658 135951468 190509987 247533922 254013316 271902936 371300883 381019974 495067844 508026632 742601766 762039948 990135688 1485203532 1524079896 2349623173 2970407064 4699246346 7048869519 8064922783 9398492692 14097739038 16129845566 18796985384 24194768349 28195478076 32259691132 48389536698 56390956152 64519382264 96779073396 193558146792 298402142971 596804285942 895206428913 1193608571884 1790412857826 2387217143768 3580825715652 7161651431304