Search a number
-
+
7145804352 = 263591274967
BaseRepresentation
bin1101010011110110…
…00101001001000000
3200110000002110202110
412221323011021000
5104113311214402
63141023215320
7342036222561
oct65173051100
920400073673
107145804352
113037690635
121475147540
1389b5961cb
144bb072168
152bc51a56c
hex1a9ec5240

7145804352 has 112 divisors (see below), whose sum is σ = 19382353920. Its totient is φ = 2322657792.

The previous prime is 7145804333. The next prime is 7145804359. The reversal of 7145804352 is 2534085417.

It is a self number, because there is not a number n which added to its sum of digits gives 7145804352.

It is not an unprimeable number, because it can be changed into a prime (7145804359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436173 + ... + 1441139.

Almost surely, 27145804352 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 7145804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9691176960).

7145804352 is an abundant number, since it is smaller than the sum of its proper divisors (12236549568).

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

7145804352 is a wasteful number, since it uses less digits than its factorization.

7145804352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 7145804352 is about 84532.8595990932. The cubic root of 7145804352 is about 1926.1216245931.

Adding to 7145804352 its reverse (2534085417), we get a palindrome (9679889769).

The spelling of 7145804352 in words is "seven billion, one hundred forty-five million, eight hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 127 177 192 236 254 354 381 472 508 708 762 944 1016 1416 1524 1888 2032 2832 3048 3776 4064 4967 5664 6096 7493 8128 9934 11328 12192 14901 14986 19868 22479 24384 29802 29972 39736 44958 59604 59944 79472 89916 119208 119888 158944 179832 238416 239776 293053 317888 359664 476832 479552 586106 630809 719328 879159 953664 1172212 1261618 1438656 1758318 1892427 2344424 2523236 3516636 3784854 4688848 5046472 7033272 7569708 9377696 10092944 14066544 15139416 18755392 20185888 28133088 30278832 37217731 40371776 56266176 60557664 74435462 111653193 121115328 148870924 223306386 297741848 446612772 595483696 893225544 1190967392 1786451088 2381934784 3572902176 7145804352