Search a number
-
+
6323772490 = 2572337831279
BaseRepresentation
bin1011110001110110…
…10001110001001010
3121022201021221000221
411320323101301022
5100422341204430
62523300220254
7312465115330
oct57073216112
917281257027
106323772490
112755671962
12128599a68a
1379a19b119
1443dc0db50
1527029057a
hex178ed1c4a

6323772490 has 128 divisors (see below), whose sum is σ = 14120386560. Its totient is φ = 1991962368.

The previous prime is 6323772463. The next prime is 6323772493. The reversal of 6323772490 is 942773236.

It is not an unprimeable number, because it can be changed into a prime (6323772493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4943671 + ... + 4944949.

It is an arithmetic number, because the mean of its divisors is an integer number (110315520).

Almost surely, 26323772490 is an apocalyptic number.

6323772490 is an abundant number, since it is smaller than the sum of its proper divisors (7796614070).

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

6323772490 is a wasteful number, since it uses less digits than its factorization.

6323772490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436.

The product of its (nonzero) digits is 381024, while the sum is 43.

The square root of 6323772490 is about 79522.1509392194. The cubic root of 6323772490 is about 1849.2348908227.

The spelling of 6323772490 in words is "six billion, three hundred twenty-three million, seven hundred seventy-two thousand, four hundred ninety".

Divisors: 1 2 5 7 10 14 23 35 37 46 70 74 83 115 161 166 185 230 259 322 370 415 518 581 805 830 851 1162 1279 1295 1610 1702 1909 2558 2590 2905 3071 3818 4255 5810 5957 6142 6395 8510 8953 9545 11914 12790 13363 15355 17906 19090 21497 26726 29417 29785 30710 42994 44765 47323 58834 59570 66815 70633 89530 94646 106157 107485 133630 141266 147085 205919 212314 214970 236615 294170 331261 353165 411838 473230 494431 530785 662522 706330 743099 988862 1029595 1061570 1088429 1486198 1656305 2059190 2176858 2441611 2472155 3312610 3715495 3927809 4883222 4944310 5442145 7430990 7619003 7855618 10884290 12208055 15238006 17091277 19639045 24416110 27494663 34182554 38095015 39278090 54989326 76190030 85456385 90339607 137473315 170912770 180679214 274946630 451698035 632377249 903396070 1264754498 3161886245 6323772490