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4213214550 = 2325217717757
BaseRepresentation
bin1111101100100000…
…1000110101010110
3101212121220110211100
43323020020311112
532112040331200
61534023450530
7206256506226
oct37310106526
911777813740
104213214550
1118722824a6
12996bb6a46
13521b5477c
142bd7b6086
15199d3ed00
hexfb208d56

4213214550 has 144 divisors (see below), whose sum is σ = 12155730912. Its totient is φ = 1042406400.

The previous prime is 4213214549. The next prime is 4213214581. The reversal of 4213214550 is 554123124.

4213214550 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 539272 + ... + 547028.

It is an arithmetic number, because the mean of its divisors is an integer number (84414798).

Almost surely, 24213214550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213214550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077865456).

4213214550 is an abundant number, since it is smaller than the sum of its proper divisors (7942516362).

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

4213214550 is a wasteful number, since it uses less digits than its factorization.

4213214550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7863 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4213214550 is about 64909.2793828433. The cubic root of 4213214550 is about 1615.1189961746.

Adding to 4213214550 its reverse (554123124), we get a palindrome (4767337674).

The spelling of 4213214550 in words is "four billion, two hundred thirteen million, two hundred fourteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 71 75 85 90 102 142 150 153 170 213 225 255 306 355 425 426 450 510 639 710 765 850 1065 1207 1275 1278 1530 1775 2130 2414 2550 3195 3550 3621 3825 5325 6035 6390 7242 7650 7757 10650 10863 12070 15514 15975 18105 21726 23271 30175 31950 36210 38785 46542 54315 60350 69813 77570 90525 108630 116355 131869 139626 181050 193925 232710 263738 271575 349065 387850 395607 543150 550747 581775 659345 698130 791214 1101494 1163550 1186821 1318690 1652241 1745325 1978035 2373642 2753735 3296725 3304482 3490650 3956070 4956723 5507470 5934105 6593450 8261205 9362699 9890175 9913446 11868210 13768675 16522410 18725398 19780350 24783615 27537350 28088097 29670525 41306025 46813495 49567230 56176194 59341050 82612050 84264291 93626990 123918075 140440485 168528582 234067475 247836150 280880970 421321455 468134950 702202425 842642910 1404404850 2106607275 4213214550