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2138697450 = 2325243110527
BaseRepresentation
bin111111101111001…
…1110111011101010
312112001100002100200
41333132132323222
513340001304300
6552115413030
7103666425351
oct17736367352
95461302320
102138697450
119a826a05a
124b82b4176
13281119866
14164080998
15c7b5d200
hex7f79eeea

2138697450 has 72 divisors (see below), whose sum is σ = 5879647488. Its totient is φ = 557051040.

The previous prime is 2138697443. The next prime is 2138697469. The reversal of 2138697450 is 547968312.

2138697450 is a `hidden beast` number, since 2 + 138 + 69 + 7 + 450 = 666.

2138697450 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).

2138697450 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2138697396 and 2138697405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35914 + ... + 74613.

It is a 1-persistent number, because it is pandigital, but 2⋅2138697450 = 4277394900 is not.

Almost surely, 22138697450 is an apocalyptic number.

2138697450 is an abundant number, since it is smaller than the sum of its proper divisors (3740950038).

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

2138697450 is a wasteful number, since it uses less digits than its factorization.

2138697450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110588 (or 110580 counting only the distinct ones).

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

The square root of 2138697450 is about 46246.0533451234. The cubic root of 2138697450 is about 1288.3972342681.

The spelling of 2138697450 in words is "two billion, one hundred thirty-eight million, six hundred ninety-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1290 1935 2150 3225 3870 6450 9675 19350 110527 221054 331581 552635 663162 994743 1105270 1657905 1989486 2763175 3315810 4752661 4973715 5526350 8289525 9505322 9947430 14257983 16579050 23763305 24868575 28515966 42773949 47526610 49737150 71289915 85547898 118816525 142579830 213869745 237633050 356449575 427739490 712899150 1069348725 2138697450