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4365052416 = 2934105253
BaseRepresentation
bin1000001000010110…
…10110101000000000
3102021012121122020000
410010023112220000
532414423134131
62001050120000
7213112222224
oct40413265000
912235548200
104365052416
11193aa5a53a
12a19a20000
1354744806a
142d5a1c784
151a8333ce6
hex1042d6a00

4365052416 has 100 divisors (see below), whose sum is σ = 13028655882. Its totient is φ = 1455003648.

The previous prime is 4365052403. The next prime is 4365052423. The reversal of 4365052416 is 6142505634.

It can be written as a sum of positive squares in only one way, i.e., 4292870400 + 72182016 = 65520^2 + 8496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11155 + ... + 94098.

Almost surely, 24365052416 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 4365052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514327941).

4365052416 is an abundant number, since it is smaller than the sum of its proper divisors (8663603466).

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

4365052416 is an equidigital number, since it uses as much as digits as its factorization.

4365052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105283 (or 105258 counting only the distinct ones).

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

The square root of 4365052416 is about 66068.5433167707. The cubic root of 4365052416 is about 1634.2926255736.

The spelling of 4365052416 in words is "four billion, three hundred sixty-five million, fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 105253 210506 315759 421012 631518 842024 947277 1263036 1684048 1894554 2526072 2841831 3368096 3789108 5052144 5683662 6736192 7578216 8525493 10104288 11367324 13472384 15156432 17050986 20208576 22734648 26944768 30312864 34101972 40417152 45469296 53889536 60625728 68203944 80834304 90938592 121251456 136407888 161668608 181877184 242502912 272815776 363754368 485005824 545631552 727508736 1091263104 1455017472 2182526208 4365052416