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2054004736 = 213731743
BaseRepresentation
bin111101001101101…
…1010000000000000
312022010222020210111
41322123122000000
513201311122421
6535452241104
7101620516000
oct17233320000
95263866714
102054004736
11964483183
12493a70194
13269705524
14156b16000
15c04cdee1
hex7a6da000

2054004736 has 224 divisors, whose sum is σ = 5190134400. Its totient is φ = 809238528.

The previous prime is 2054004731. The next prime is 2054004751. The reversal of 2054004736 is 6374004502.

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

It is a junction number, because it is equal to n+sod(n) for n = 2054004698 and 2054004707.

It is not an unprimeable number, because it can be changed into a prime (2054004731) 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, 47767531 + ... + 47767573.

Almost surely, 22054004736 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 2054004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595067200).

2054004736 is an abundant number, since it is smaller than the sum of its proper divisors (3136129664).

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

2054004736 is an frugal number, since it uses more digits than its factorization.

2054004736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 2054004736 is about 45321.1290238891. The cubic root of 2054004736 is about 1271.1607665122.

The spelling of 2054004736 in words is "two billion, fifty-four million, four thousand, seven hundred thirty-six".