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4467042816 = 2937140961
BaseRepresentation
bin1000010100100000…
…11010101000000000
3102112022112021202020
410022100122220000
533122030332231
62015132121440
7215461144305
oct41220325000
912468467666
104467042816
111992590425
12a48006280
13562607802
143053ab0ac
151b227d396
hex10a41aa00

4467042816 has 80 divisors (see below), whose sum is σ = 12068388288. Its totient is φ = 1468006400.

The previous prime is 4467042781. The next prime is 4467042817. The reversal of 4467042816 is 6182407644.

It is not an unprimeable number, because it can be changed into a prime (4467042817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88576 + ... + 129536.

Almost surely, 24467042816 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 4467042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034194144).

4467042816 is an abundant number, since it is smaller than the sum of its proper divisors (7601345472).

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

4467042816 is an equidigital number, since it uses as much as digits as its factorization.

4467042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41053 (or 41037 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4467042816 is about 66835.9395535067. The cubic root of 4467042816 is about 1646.9232920443.

The spelling of 4467042816 in words is "four billion, four hundred sixty-seven million, forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 2272 3408 4544 6816 9088 13632 18176 27264 36352 40961 54528 81922 109056 122883 163844 245766 327688 491532 655376 983064 1310752 1966128 2621504 2908231 3932256 5243008 5816462 7864512 8724693 10486016 11632924 15729024 17449386 20972032 23265848 31458048 34898772 46531696 62916096 69797544 93063392 139595088 186126784 279190176 372253568 558380352 744507136 1116760704 1489014272 2233521408 4467042816