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2137948650 = 232524750997
BaseRepresentation
bin111111101101110…
…1000000111101010
312111222221001012100
41333123220013222
513334303324100
6552051354230
7103660156305
oct17733500752
95458831170
102137948650
119a78a8512
124b7bb2976
13280c16a96
14163d27b3c
15c7a61400
hex7f6e81ea

2137948650 has 36 divisors (see below), whose sum is σ = 5743956582. Its totient is φ = 570119520.

The previous prime is 2137948633. The next prime is 2137948661. The reversal of 2137948650 is 568497312.

2137948650 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1245313521 + 892635129 = 35289^2 + 29877^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

2137948650 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2137948596 and 2137948605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2375049 + ... + 2375948.

It is a 1-persistent number, because it is pandigital, but 2⋅2137948650 = 4275897300 is not.

Almost surely, 22137948650 is an apocalyptic number.

2137948650 is an abundant number, since it is smaller than the sum of its proper divisors (3606007932).

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

2137948650 is a wasteful number, since it uses less digits than its factorization.

2137948650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751015 (or 4751007 counting only the distinct ones).

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

The square root of 2137948650 is about 46237.9568103955. The cubic root of 2137948650 is about 1288.2468523205.

The spelling of 2137948650 in words is "two billion, one hundred thirty-seven million, nine hundred forty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 4750997 9501994 14252991 23754985 28505982 42758973 47509970 71264955 85517946 118774925 142529910 213794865 237549850 356324775 427589730 712649550 1068974325 2137948650