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2051923104 = 253571123149
BaseRepresentation
bin111101001001101…
…1101110010100000
312022000001111100000
41322103131302200
513200243014404
6535335500000
7101564026050
oct17223356240
95260044300
102051923104
11963291220
12493227600
13269156baa
14156733560
15c021c339
hex7a4ddca0

2051923104 has 576 divisors, whose sum is σ = 7925299200. Its totient is φ = 506373120.

The previous prime is 2051923087. The next prime is 2051923129. The reversal of 2051923104 is 4013291502.

2051923104 is a `hidden beast` number, since 20 + 519 + 23 + 104 = 666.

2051923104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13771222 + ... + 13771370.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 22051923104 is an apocalyptic number.

2051923104 is a gapful number since it is divisible by the number (24) 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 2051923104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

2051923104 is an abundant number, since it is smaller than the sum of its proper divisors (5873376096).

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

2051923104 is a wasteful number, since it uses less digits than its factorization.

2051923104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2051923104 is about 45298.1578433384. The cubic root of 2051923104 is about 1270.7312018867.

The spelling of 2051923104 in words is "two billion, fifty-one million, nine hundred twenty-three thousand, one hundred four".