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3650834916 = 22361737237
BaseRepresentation
bin1101100110011011…
…0101000111100100
3100102102200122000000
43121212311013210
524434103204131
61402134021300
7156320404401
oct33146650744
910372618000
103650834916
11160388a343
1285a7a7830
1346249b561
14268c232a8
151657a3ce6
hexd99b51e4

3650834916 has 84 divisors (see below), whose sum is σ = 9635761212. Its totient is φ = 1209743424.

The previous prime is 3650834879. The next prime is 3650834921. The reversal of 3650834916 is 6194380563.

3650834916 is a `hidden beast` number, since 36 + 50 + 83 + 491 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2921834916 + 729000000 = 54054^2 + 27000^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 500850 + ... + 508086.

It is an arithmetic number, because the mean of its divisors is an integer number (114711443).

Almost surely, 23650834916 is an apocalyptic number.

3650834916 is a gapful number since it is divisible by the number (36) 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 3650834916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817880606).

3650834916 is an abundant number, since it is smaller than the sum of its proper divisors (5984926296).

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

3650834916 is a wasteful number, since it uses less digits than its factorization.

3650834916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3650834916 is about 60422.1392868541. The cubic root of 3650834916 is about 1539.7991130552.

Adding to 3650834916 its product of nonzero digits (466560), we get a square (3651301476 = 604262).

The spelling of 3650834916 in words is "three billion, six hundred fifty million, eight hundred thirty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 173 243 324 346 486 519 692 729 972 1038 1458 1557 2076 2916 3114 4671 6228 7237 9342 14013 14474 18684 21711 28026 28948 42039 43422 56052 65133 84078 86844 126117 130266 168156 195399 252234 260532 390798 504468 586197 781596 1172394 1252001 1758591 2344788 2504002 3517182 3756003 5008004 5275773 7034364 7512006 10551546 11268009 15024012 21103092 22536018 33804027 45072036 67608054 101412081 135216108 202824162 304236243 405648324 608472486 912708729 1216944972 1825417458 3650834916