Search a number
-
+
7450665040 = 2457134323801
BaseRepresentation
bin1101111000001100…
…00010000001010000
3201020020202000000001
412330012002001100
5110224332240130
63231153335344
7352430415340
oct67406020120
921206660001
107450665040
113183784a15
12153b267554
139197a6550
1450974cd20
152d91896ca
hex1bc182050

7450665040 has 160 divisors (see below), whose sum is σ = 21817103616. Its totient is φ = 2303078400.

The previous prime is 7450664941. The next prime is 7450665043. The reversal of 7450665040 is 405660547.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7450665043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301140 + ... + 324940.

Almost surely, 27450665040 is an apocalyptic number.

7450665040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7450665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10908551808).

7450665040 is an abundant number, since it is smaller than the sum of its proper divisors (14366438576).

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

7450665040 is a wasteful number, since it uses less digits than its factorization.

7450665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23877 (or 23871 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 7450665040 is about 86317.2348954715. The cubic root of 7450665040 is about 1953.1323787207.

The spelling of 7450665040 in words is "seven billion, four hundred fifty million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 43 52 56 65 70 80 86 91 104 112 130 140 172 182 208 215 260 280 301 344 364 430 455 520 559 560 602 688 728 860 910 1040 1118 1204 1456 1505 1720 1820 2236 2408 2795 3010 3440 3640 3913 4472 4816 5590 6020 7280 7826 8944 11180 12040 15652 19565 22360 23801 24080 31304 39130 44720 47602 62608 78260 95204 119005 156520 166607 190408 238010 309413 313040 333214 380816 476020 618826 666428 833035 952040 1023443 1237652 1332856 1547065 1666070 1904080 2046886 2165891 2475304 2665712 3094130 3332140 4093772 4331782 4950608 5117215 6188260 6664280 7164101 8187544 8663564 10234430 10829455 12376520 13304759 13328560 14328202 16375088 17327128 20468860 21658910 24753040 26609518 28656404 34654256 35820505 40937720 43317820 53219036 57312808 66523795 71641010 81875440 86635640 93133313 106438072 114625616 133047590 143282020 173271280 186266626 212876144 266095180 286564040 372533252 465666565 532190360 573128080 745066504 931333130 1064380720 1490133008 1862666260 3725332520 7450665040