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2109720168 = 2337373259
BaseRepresentation
bin111110110111111…
…1100011001101000
312110000210220000000
41331233330121220
513310042021133
6545202343000
7103165216443
oct17557743150
95400726000
102109720168
11992977a96
124aa65aa60
1327811223a
1416029a65a
15c5337413
hex7dbfc668

2109720168 has 128 divisors (see below), whose sum is σ = 6094896000. Its totient is φ = 684023616.

The previous prime is 2109720167. The next prime is 2109720209. The reversal of 2109720168 is 8610279012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2109720163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645723 + ... + 648981.

It is an arithmetic number, because the mean of its divisors is an integer number (47616375).

Almost surely, 22109720168 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 2109720168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047448000).

2109720168 is an abundant number, since it is smaller than the sum of its proper divisors (3985175832).

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

2109720168 is an equidigital number, since it uses as much as digits as its factorization.

2109720168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2109720168 is about 45931.6902366982. The cubic root of 2109720168 is about 1282.5519092563.

The spelling of 2109720168 in words is "two billion, one hundred nine million, seven hundred twenty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 729 888 972 999 1332 1458 1944 1998 2187 2664 2916 2997 3259 3996 4374 5832 5994 6518 7992 8748 8991 9777 11988 13036 17496 17982 19554 23976 26072 26973 29331 35964 39108 53946 58662 71928 78216 80919 87993 107892 117324 120583 161838 175986 215784 234648 241166 263979 323676 351972 361749 482332 527958 647352 703944 723498 791937 964664 1055916 1085247 1446996 1583874 2111832 2170494 2375811 2893992 3167748 3255741 4340988 4751622 6335496 6511482 7127433 8681976 9503244 9767223 13022964 14254866 19006488 19534446 26045928 28509732 29301669 39068892 57019464 58603338 78137784 87905007 117206676 175810014 234413352 263715021 351620028 527430042 703240056 1054860084 2109720168