Search a number
-
+
2137837050 = 234521373853
BaseRepresentation
bin111111101101100…
…1100110111111010
312111222201101010000
41333123030313322
513334241241200
6552045133430
7103656213036
oct17733146772
95458641100
102137837050
119a7831688
124b7b5a276
13280ba804b
14163cd91c6
15c7a3d300
hex7f6ccdfa

2137837050 has 120 divisors (see below), whose sum is σ = 5984930556. Its totient is φ = 565781760.

The previous prime is 2137837027. The next prime is 2137837069. The reversal of 2137837050 is 507387312.

2137837050 is a `hidden beast` number, since 213 + 78 + 370 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1574581761 + 563255289 = 39681^2 + 23733^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2137836996 and 2137837014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 552924 + ... + 556776.

Almost surely, 22137837050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137837050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992465278).

2137837050 is an abundant number, since it is smaller than the sum of its proper divisors (3847093506).

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

2137837050 is a wasteful number, since it uses less digits than its factorization.

2137837050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2137837050 is about 46236.7499939172. The cubic root of 2137837050 is about 1288.2244366199.

The spelling of 2137837050 in words is "two billion, one hundred thirty-seven million, eight hundred thirty-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 137 150 162 225 270 274 405 411 450 675 685 810 822 1233 1350 1370 2025 2055 2466 3425 3699 3853 4050 4110 6165 6850 7398 7706 10275 11097 11559 12330 18495 19265 20550 22194 23118 30825 34677 36990 38530 55485 57795 61650 69354 92475 96325 104031 110970 115590 173385 184950 192650 208062 277425 288975 312093 346770 520155 527861 554850 577950 624186 866925 1040310 1055722 1560465 1583583 1733850 2600775 2639305 3120930 3167166 4750749 5201550 5278610 7802325 7917915 9501498 13196525 14252247 15604650 15835830 23753745 26393050 28504494 39589575 42756741 47507490 71261235 79179150 85513482 118768725 142522470 213783705 237537450 356306175 427567410 712612350 1068918525 2137837050