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2125473792 = 21131322389
BaseRepresentation
bin111111010110000…
…0010100000000000
312111010110020220120
41332230002200000
513323110130132
6550524140240
7103446141411
oct17654024000
95433406816
102125473792
119a0857a12
124b3997680
1327b469900
141623db808
15c68ea02c
hex7eb02800

2125473792 has 288 divisors, whose sum is σ = 6474686400. Its totient is φ = 618528768.

The previous prime is 2125473781. The next prime is 2125473799. The reversal of 2125473792 is 2973745212.

It is not an unprimeable number, because it can be changed into a prime (2125473799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23881684 + ... + 23881772.

It is an arithmetic number, because the mean of its divisors is an integer number (22481550).

Almost surely, 22125473792 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 2125473792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237343200).

2125473792 is an abundant number, since it is smaller than the sum of its proper divisors (4349212608).

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

2125473792 is a wasteful number, since it uses less digits than its factorization.

2125473792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 2125473792 is about 46102.8609958211. The cubic root of 2125473792 is about 1285.7363374560.

The spelling of 2125473792 in words is "two billion, one hundred twenty-five million, four hundred seventy-three thousand, seven hundred ninety-two".