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4218970112 = 2137294359
BaseRepresentation
bin1111101101111000…
…0110000000000000
3101220000201212222022
43323132012000000
532120024020422
61534351101012
7206356440260
oct37336060000
911800655868
104218970112
111875553765
12998b11768
135230bb426
142c04737a0
1519a5ca342
hexfb786000

4218970112 has 224 divisors, whose sum is σ = 10380268800. Its totient is φ = 1676279808.

The previous prime is 4218970111. The next prime is 4218970127. The reversal of 4218970112 is 2110798124.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218970111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71507939 + ... + 71507997.

Almost surely, 24218970112 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 4218970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190134400).

4218970112 is an abundant number, since it is smaller than the sum of its proper divisors (6161298688).

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

4218970112 is an equidigital number, since it uses as much as digits as its factorization.

4218970112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 4218970112 is about 64953.5996846980. The cubic root of 4218970112 is about 1615.8541187791.

The spelling of 4218970112 in words is "four billion, two hundred eighteen million, nine hundred seventy thousand, one hundred twelve".