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2117146044 = 22313232920347
BaseRepresentation
bin111111000110001…
…0001010110111100
312110112210011101110
41332030101112330
513313442133134
6550025442020
7103315305306
oct17614212674
95415704343
102117146044
1199708a182
124b1040310
13279812250
14161270976
15c5d027e9
hex7e3115bc

2117146044 has 96 divisors (see below), whose sum is σ = 5743019520. Its totient is φ = 601590528.

The previous prime is 2117146033. The next prime is 2117146049. The reversal of 2117146044 is 4406417112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117146049) 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 31 ways as a sum of consecutive naturals, for example, 93879 + ... + 114225.

It is an arithmetic number, because the mean of its divisors is an integer number (59823120).

Almost surely, 22117146044 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 2117146044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871509760).

2117146044 is an abundant number, since it is smaller than the sum of its proper divisors (3625873476).

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

2117146044 is a wasteful number, since it uses less digits than its factorization.

2117146044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20419 (or 20417 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2117146044 is about 46012.4553137517. The cubic root of 2117146044 is about 1284.0549393715.

The spelling of 2117146044 in words is "two billion, one hundred seventeen million, one hundred forty-six thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 29 39 46 52 58 69 78 87 92 116 138 156 174 276 299 348 377 598 667 754 897 1131 1196 1334 1508 1794 2001 2262 2668 3588 4002 4524 8004 8671 17342 20347 26013 34684 40694 52026 61041 81388 104052 122082 244164 264511 467981 529022 590063 793533 935962 1058044 1180126 1403943 1587066 1770189 1871924 2360252 2807886 3174132 3540378 5615772 6083753 7080756 7670819 12167506 13571449 15341638 18251259 23012457 24335012 27142898 30683276 36502518 40714347 46024914 54285796 73005036 81428694 92049828 162857388 176428837 352857674 529286511 705715348 1058573022 2117146044