Search a number
-
+
9073661472 = 253418712
BaseRepresentation
bin10000111001101010…
…10001011000100000
3212102100200202120000
420130311101120200
5122040324131342
64100212020000
7440565564351
oct103465213040
925370622500
109073661472
113936933187
121912901600
13b17b01575
1462110bd28
153818cc44c
hex21cd51620

9073661472 has 90 divisors (see below), whose sum is σ = 26699656599. Its totient is φ = 3022937280.

The previous prime is 9073661419. The next prime is 9073661473. The reversal of 9073661472 is 2741663709.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9073661472 is a `hidden beast` number, since 90 + 7 + 36 + 61 + 472 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4536830736 + 4536830736 = 67356^2 + 67356^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=67356.

It is not an unprimeable number, because it can be changed into a prime (9073661473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4848697 + ... + 4850567.

Almost surely, 29073661472 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 9073661472

9073661472 is an abundant number, since it is smaller than the sum of its proper divisors (17625995127).

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

9073661472 is an frugal number, since it uses more digits than its factorization.

9073661472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 9073661472 is about 95255.7687072022. The cubic root of 9073661472 is about 2085.7433010502.

The spelling of 9073661472 in words is "nine billion, seventy-three million, six hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1871 2592 3742 5613 7484 11226 14968 16839 22452 29936 33678 44904 50517 59872 67356 89808 101034 134712 151551 179616 202068 269424 303102 404136 538848 606204 808272 1212408 1616544 2424816 3500641 4849632 7001282 10501923 14002564 21003846 28005128 31505769 42007692 56010256 63011538 84015384 94517307 112020512 126023076 168030768 189034614 252046152 283551921 336061536 378069228 504092304 567103842 756138456 1008184608 1134207684 1512276912 2268415368 3024553824 4536830736 9073661472