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4812196900 = 2252729912
BaseRepresentation
bin1000111101101010…
…00100110000100100
3110102100222221010211
410132311010300210
534323410300100
62113302025204
7230151666400
oct43665046044
913370887124
104812196900
11204a3a5835
12b23718204
135b8c850b4
14339176100
151d270b1ba
hex11ed44c24

4812196900 has 81 divisors (see below), whose sum is σ = 12159629937. Its totient is φ = 1648231200.

The previous prime is 4812196871. The next prime is 4812196901. The reversal of 4812196900 is 96912184.

The square root of 4812196900 is 69370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1732390884 + 3079806016 = 41622^2 + 55496^2 .

It is a super-2 number, since 2×48121969002 = 46314478008739220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4812196901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4855405 + ... + 4856395.

Almost surely, 24812196900 is an apocalyptic number.

4812196900 is the 69370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4812196900

4812196900 is an abundant number, since it is smaller than the sum of its proper divisors (7347433037).

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

4812196900 is an equidigital number, since it uses as much as digits as its factorization.

4812196900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The cubic root of 4812196900 is about 1688.2929087662.

The spelling of 4812196900 in words is "four billion, eight hundred twelve million, one hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 991 1225 1982 2450 3964 4900 4955 6937 9910 13874 19820 24775 27748 34685 48559 49550 69370 97118 99100 138740 173425 194236 242795 346850 485590 693700 971180 982081 1213975 1964162 2427950 3928324 4855900 4910405 6874567 9820810 13749134 19641620 24552025 27498268 34372835 48121969 49104050 68745670 96243938 98208100 137491340 171864175 192487876 240609845 343728350 481219690 687456700 962439380 1203049225 2406098450 4812196900