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4992120000 = 26325472283
BaseRepresentation
bin1001010011000110…
…11011010011000000
3110212220112222020100
410221203123103000
540210440320000
62143210242400
7234465214500
oct45143332300
913786488210
104992120000
112131a1570a
12b73a26400
1361732cc7a
1435500da00
151e33eba00
hex1298db4c0

4992120000 has 630 divisors, whose sum is σ = 20873309028. Its totient is φ = 1137024000.

The previous prime is 4992119969. The next prime is 4992120017. The reversal of 4992120000 is 212994.

It is a tau number, because it is divible by the number of its divisors (630).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17639859 + ... + 17640141.

Almost surely, 24992120000 is an apocalyptic number.

4992120000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4992120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10436654514).

4992120000 is an abundant number, since it is smaller than the sum of its proper divisors (15881189028).

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

4992120000 is a wasteful number, since it uses less digits than its factorization.

4992120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4992120000 is about 70654.9361332950. The cubic root of 4992120000 is about 1709.0771669883.

Adding to 4992120000 its reverse (212994), we get a palindrome (4992332994).

The spelling of 4992120000 in words is "four billion, nine hundred ninety-two million, one hundred twenty thousand".