Search a number
-
+
7466225328 = 243353595527
BaseRepresentation
bin1101111010000010…
…11000111010110000
3201021100000112201000
412331001120322300
5110242323202303
63232511042000
7353006603532
oct67501307260
921240015630
107466225328
113191542661
121544510300
1391ca93c13
1450b83d852
152da70eda3
hex1bd058eb0

7466225328 has 160 divisors (see below), whose sum is σ = 22209292800. Its totient is φ = 2399963904.

The previous prime is 7466225311. The next prime is 7466225341. The reversal of 7466225328 is 8235226647.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348101 + ... + 1353627.

It is an arithmetic number, because the mean of its divisors is an integer number (138808080).

Almost surely, 27466225328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7466225328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104646400).

7466225328 is an abundant number, since it is smaller than the sum of its proper divisors (14743067472).

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

7466225328 is a wasteful number, since it uses less digits than its factorization.

7466225328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5656 (or 5644 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 7466225328 is about 86407.3221897311. The cubic root of 7466225328 is about 1954.4911017265.

The spelling of 7466225328 in words is "seven billion, four hundred sixty-six million, two hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 59 72 106 108 118 144 159 177 212 216 236 318 354 424 432 472 477 531 636 708 848 944 954 1062 1272 1416 1431 1593 1908 2124 2544 2832 2862 3127 3186 3816 4248 5527 5724 6254 6372 7632 8496 9381 11054 11448 12508 12744 16581 18762 22108 22896 25016 25488 28143 33162 37524 44216 49743 50032 56286 66324 75048 84429 88432 99486 112572 132648 149229 150096 168858 198972 225144 265296 292931 298458 326093 337716 397944 450288 585862 596916 652186 675432 795888 878793 978279 1171724 1193832 1304372 1350864 1757586 1956558 2343448 2387664 2608744 2636379 2934837 3515172 3913116 4686896 5217488 5272758 5869674 7030344 7826232 7909137 8804511 10545516 11739348 14060688 15652464 15818274 17282929 17609022 21091032 23478696 31636548 34565858 35218044 42182064 46957392 51848787 63273096 69131716 70436088 103697574 126546192 138263432 140872176 155546361 207395148 276526864 311092722 414790296 466639083 622185444 829580592 933278166 1244370888 1866556332 2488741776 3733112664 7466225328