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2100146656 = 251491512917
BaseRepresentation
bin111110100101101…
…1011000111100000
312102100210111121111
41331023123013200
513300114143111
6544221233104
7103020644356
oct17513330740
95370714544
102100146656
119885292a3
124a7402794
1327613c83a
1415ccc77d6
15c4595a21
hex7d2db1e0

2100146656 has 48 divisors (see below), whose sum is σ = 4191415200. Its totient is φ = 1035763200.

The previous prime is 2100146651. The next prime is 2100146669. The reversal of 2100146656 is 6566410012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100146651) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 718510 + ... + 721426.

It is an arithmetic number, because the mean of its divisors is an integer number (87321150).

Almost surely, 22100146656 is an apocalyptic number.

It is an amenable number.

2100146656 is a deficient number, since it is larger than the sum of its proper divisors (2091268544).

2100146656 is a wasteful number, since it uses less digits than its factorization.

2100146656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2100146656 is about 45827.3570697678. The cubic root of 2100146656 is about 1280.6089745504.

Adding to 2100146656 its reverse (6566410012), we get a palindrome (8666556668).

The spelling of 2100146656 in words is "two billion, one hundred million, one hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 149 151 298 302 596 604 1192 1208 2384 2416 2917 4768 4832 5834 11668 22499 23336 44998 46672 89996 93344 179992 359984 434633 440467 719968 869266 880934 1738532 1761868 3477064 3523736 6954128 7047472 13908256 14094944 65629583 131259166 262518332 525036664 1050073328 2100146656