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2138469750 = 232535989181
BaseRepresentation
bin111111101110110…
…0111010101110110
312112000220112000100
41333131213111312
513334422013000
6552110454530
7103664456454
oct17735472566
95460815010
102138469750
119a8123a7a
124b8204446
1328106a021
141640219d4
15c7b15a00
hex7f767576

2138469750 has 192 divisors, whose sum is σ = 5979355200. Its totient is φ = 551232000.

The previous prime is 2138469733. The next prime is 2138469757. The reversal of 2138469750 is 579648312.

2138469750 is a `hidden beast` number, since 2 + 138 + 469 + 7 + 50 = 666.

2138469750 is digitally balanced in base 10, 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 (45).

2138469750 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2138469696 and 2138469705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138469757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11814660 + ... + 11814840.

It is an arithmetic number, because the mean of its divisors is an integer number (31142475).

It is a 1-persistent number, because it is pandigital, but 2⋅2138469750 = 4276939500 is not.

Almost surely, 22138469750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138469750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989677600).

2138469750 is an abundant number, since it is smaller than the sum of its proper divisors (3840885450).

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

2138469750 is a wasteful number, since it uses less digits than its factorization.

2138469750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2138469750 is about 46243.5914478969. The cubic root of 2138469750 is about 1288.3515088568.

The spelling of 2138469750 in words is "two billion, one hundred thirty-eight million, four hundred sixty-nine thousand, seven hundred fifty".