Search a number
-
+
4505423616 = 28322816959
BaseRepresentation
bin1000011001000101…
…10100111100000000
3102121222202020022100
410030202310330000
533211342023431
62023022510400
7216435316551
oct41442647400
912558666270
104505423616
111a022154a1
12a58a35400
1356a555345
1430a51c328
151b58104e6
hex10c8b4f00

4505423616 has 108 divisors (see below), whose sum is σ = 13038348960. Its totient is φ = 1496248320.

The previous prime is 4505423591. The next prime is 4505423627. The reversal of 4505423616 is 6163245054.

4505423616 is a `hidden beast` number, since 4 + 50 + 542 + 3 + 61 + 6 = 666.

It is a super-2 number, since 2×45054236162 = 40597683919221030912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 643945 + ... + 650903.

Almost surely, 24505423616 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 4505423616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519174480).

4505423616 is an abundant number, since it is smaller than the sum of its proper divisors (8532925344).

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

4505423616 is a wasteful number, since it uses less digits than its factorization.

4505423616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4505423616 is about 67122.4523985827. The cubic root of 4505423616 is about 1651.6266316914.

The spelling of 4505423616 in words is "four billion, five hundred five million, four hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 281 288 384 562 576 768 843 1124 1152 1686 2248 2304 2529 3372 4496 5058 6744 6959 8992 10116 13488 13918 17984 20232 20877 26976 27836 35968 40464 41754 53952 55672 62631 71936 80928 83508 107904 111344 125262 161856 167016 215808 222688 250524 323712 334032 445376 501048 647424 668064 890752 1002096 1336128 1781504 1955479 2004192 2672256 3910958 4008384 5344512 5866437 7821916 8016768 11732874 15643832 16033536 17599311 23465748 31287664 35198622 46931496 62575328 70397244 93862992 125150656 140794488 187725984 250301312 281588976 375451968 500602624 563177952 750903936 1126355904 1501807872 2252711808 4505423616