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4210114968 = 233926737
BaseRepresentation
bin1111101011110001…
…0100000110011000
3101212102002000000000
43322330110012120
532110242134333
61533433213000
7206221246443
oct37274240630
911772060000
104210114968
111870555764
12995b61160
1352130a9b7
142bd20a65a
1519992b713
hexfaf14198

4210114968 has 80 divisors (see below), whose sum is σ = 11841190680. Its totient is φ = 1403319168.

The previous prime is 4210114963. The next prime is 4210114969. The reversal of 4210114968 is 8694110124.

4210114968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4210114963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144096 + ... + 170832.

Almost surely, 24210114968 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 4210114968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920595340).

4210114968 is an abundant number, since it is smaller than the sum of its proper divisors (7631075712).

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

4210114968 is an frugal number, since it uses more digits than its factorization.

4210114968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26770 (or 26742 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4210114968 is about 64885.3987272946. The cubic root of 4210114968 is about 1614.7228282079.

The spelling of 4210114968 in words is "four billion, two hundred ten million, one hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 19683 26244 26737 39366 52488 53474 78732 80211 106948 157464 160422 213896 240633 320844 481266 641688 721899 962532 1443798 1925064 2165697 2887596 4331394 5775192 6497091 8662788 12994182 17325576 19491273 25988364 38982546 51976728 58473819 77965092 116947638 155930184 175421457 233895276 350842914 467790552 526264371 701685828 1052528742 1403371656 2105057484 4210114968