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3805084416 = 28372101113
BaseRepresentation
bin1110001011001100…
…1111101100000000
3100211011221022112110
43202303033230000
530243100200131
61425324055320
7163202453400
oct34263175400
910734838473
103805084416
111682964271
128a2394540
13488427753
142814d6800
151740c2646
hexe2ccfb00

3805084416 has 108 divisors (see below), whose sum is σ = 11780589912. Its totient is φ = 1087156224.

The previous prime is 3805084399. The next prime is 3805084487. The reversal of 3805084416 is 6144805083.

It is a super-2 number, since 2×38050844162 = 28957334825772122112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12925 + ... + 88188.

Almost surely, 23805084416 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 3805084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890294956).

3805084416 is an abundant number, since it is smaller than the sum of its proper divisors (7975505496).

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

3805084416 is a wasteful number, since it uses less digits than its factorization.

3805084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101146 (or 101125 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 3805084416 is about 61685.3663035245. The cubic root of 3805084416 is about 1561.1864215949.

Adding to 3805084416 its reverse (6144805083), we get a palindrome (9949889499).

The spelling of 3805084416 in words is "three billion, eight hundred five million, eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 37632 101113 202226 303339 404452 606678 707791 808904 1213356 1415582 1617808 2123373 2426712 2831164 3235616 4246746 4853424 4954537 5662328 6471232 8493492 9706848 9909074 11324656 12942464 14863611 16986984 19413696 19818148 22649312 25884928 29727222 33973968 38827392 39636296 45298624 59454444 67947936 77654784 79272592 90597248 118908888 135895872 158545184 181194496 237817776 271791744 317090368 475635552 543583488 634180736 951271104 1268361472 1902542208 3805084416