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2125009920 = 210351112577
BaseRepresentation
bin111111010101001…
…0001010000000000
312111002120200121010
41332222101100000
513323000304140
6550510200520
7103442200125
oct17652212000
95432520533
102125009920
119a0570450
124b37b3140
1327b336727
1416231a74c
15c6857880
hex7ea91400

2125009920 has 176 divisors, whose sum is σ = 7415183808. Its totient is φ = 515112960.

The previous prime is 2125009871. The next prime is 2125009921. The reversal of 2125009920 is 299005212.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125009921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162672 + ... + 175248.

Almost surely, 22125009920 is an apocalyptic number.

2125009920 is a gapful number since it is divisible by the number (20) 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 2125009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707591904).

2125009920 is an abundant number, since it is smaller than the sum of its proper divisors (5290173888).

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

2125009920 is a wasteful number, since it uses less digits than its factorization.

2125009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12598 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2125009920 is about 46097.8298838459. The cubic root of 2125009920 is about 1285.6427958839.

The spelling of 2125009920 in words is "two billion, one hundred twenty-five million, nine thousand, nine hundred twenty".