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4213997056 = 29411971019
BaseRepresentation
bin1111101100101100…
…0111111000000000
3101212200101020020001
43323023013320000
532112240401211
61534052325344
7206266245463
oct37313077000
911780336201
104213997056
1118727673a5
12997313854
135220699a9
142bd93b2da
15199e46ac1
hexfb2c7e00

4213997056 has 80 divisors (see below), whose sum is σ = 8677413360. Its totient is φ = 2043166720.

The previous prime is 4213997027. The next prime is 4213997071. The reversal of 4213997056 is 6507993124.

It is a happy number.

4213997056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4213996997 and 4213997015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4134915 + ... + 4135933.

It is an arithmetic number, because the mean of its divisors is an integer number (108467667).

Almost surely, 24213997056 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 4213997056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338706680).

4213997056 is an abundant number, since it is smaller than the sum of its proper divisors (4463416304).

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

4213997056 is a wasteful number, since it uses less digits than its factorization.

4213997056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 4213997056 is about 64915.3067927742. The cubic root of 4213997056 is about 1615.2189801699.

The spelling of 4213997056 in words is "four billion, two hundred thirteen million, nine hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 197 256 328 394 512 656 788 1019 1312 1576 2038 2624 3152 4076 5248 6304 8077 8152 10496 12608 16154 16304 20992 25216 32308 32608 41779 50432 64616 65216 83558 100864 129232 130432 167116 200743 258464 260864 334232 401486 516928 521728 668464 802972 1033856 1336928 1605944 2067712 2673856 3211888 4135424 5347712 6423776 8230463 10695424 12847552 16460926 21390848 25695104 32921852 51390208 65843704 102780416 131687408 263374816 526749632 1053499264 2106998528 4213997056