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4507414016 = 2974492801
BaseRepresentation
bin1000011001010100…
…11010111000000000
3102122010111100121212
410030222122320000
533212344222031
62023133305252
7216461246510
oct41452327000
912563440555
104507414016
111a03354956
12a59635228
1356aaa12b1
1430a8b9840
151b5aa512b
hex10ca9ae00

4507414016 has 80 divisors (see below), whose sum is σ = 10319205600. Its totient is φ = 1926758400.

The previous prime is 4507413931. The next prime is 4507414031. The reversal of 4507414016 is 6104147054.

It is a super-2 number, since 2×45074140162 = 40633562223266496512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1607816 + ... + 1610616.

It is an arithmetic number, because the mean of its divisors is an integer number (128990070).

Almost surely, 24507414016 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 4507414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159602800).

4507414016 is an abundant number, since it is smaller than the sum of its proper divisors (5811791584).

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

4507414016 is an equidigital number, since it uses as much as digits as its factorization.

4507414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 4507414016 is about 67137.2773949019. The cubic root of 4507414016 is about 1651.8698136831.

The spelling of 4507414016 in words is "four billion, five hundred seven million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 449 512 896 898 1792 1796 2801 3143 3584 3592 5602 6286 7184 11204 12572 14368 19607 22408 25144 28736 39214 44816 50288 57472 78428 89632 100576 114944 156856 179264 201152 229888 313712 358528 402304 627424 717056 804608 1254848 1257649 1434112 1609216 2509696 2515298 5019392 5030596 8803543 10038784 10061192 17607086 20122384 35214172 40244768 70428344 80489536 140856688 160979072 281713376 321958144 563426752 643916288 1126853504 2253707008 4507414016