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2129663550 = 235278832297
BaseRepresentation
bin111111011110000…
…0001011000111110
312111102100010011210
41332330001120332
513330143213200
6551154025250
7103526561430
oct17674013076
95442303153
102129663550
119a3159823
124b5278226
1327c2a5961
14162bac650
15c6e76650
hex7ef0163e

2129663550 has 96 divisors (see below), whose sum is σ = 6045541632. Its totient is φ = 486017280.

The previous prime is 2129663521. The next prime is 2129663563. The reversal of 2129663550 is 553669212.

It is a junction number, because it is equal to n+sod(n) for n = 2129663499 and 2129663508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926002 + ... + 928298.

It is an arithmetic number, because the mean of its divisors is an integer number (62974392).

Almost surely, 22129663550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129663550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022770816).

2129663550 is an abundant number, since it is smaller than the sum of its proper divisors (3915878082).

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

2129663550 is a wasteful number, since it uses less digits than its factorization.

2129663550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 2129663550 is about 46148.2778660266. The cubic root of 2129663550 is about 1286.5806022984.

The spelling of 2129663550 in words is "two billion, one hundred twenty-nine million, six hundred sixty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 883 1050 1766 2297 2649 4415 4594 5298 6181 6891 8830 11485 12362 13245 13782 16079 18543 22075 22970 26490 30905 32158 34455 37086 44150 48237 57425 61810 66225 68910 80395 92715 96474 114850 132450 154525 160790 172275 185430 241185 309050 344550 401975 463575 482370 803950 927150 1205925 2028251 2411850 4056502 6084753 10141255 12169506 14197757 20282510 28395514 30423765 42593271 50706275 60847530 70988785 85186542 101412550 141977570 152118825 212966355 304237650 354943925 425932710 709887850 1064831775 2129663550