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4463529012 = 2232673475333
BaseRepresentation
bin1000010100000110…
…00000110000110100
3102112001220202201100
410022003000300310
533120130412022
62014524530100
7215416241055
oct41203006064
912461822640
104463529012
111990600458
12a469b0930
13561977337
14304b3472c
151b1cd71ac
hex10a0c0c34

4463529012 has 72 divisors (see below), whose sum is σ = 11486363616. Its totient is φ = 1461138624.

The previous prime is 4463528987. The next prime is 4463529013. The reversal of 4463529012 is 2109253644.

It is a happy number.

4463529012 is a `hidden beast` number, since 4 + 4 + 635 + 2 + 9 + 0 + 12 = 666.

It is a super-2 number, since 2×44635290122 = 39846182481931392288, 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 not an unprimeable number, because it can be changed into a prime (4463529013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834298 + ... + 839630.

It is an arithmetic number, because the mean of its divisors is an integer number (159532828).

Almost surely, 24463529012 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 4463529012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743181808).

4463529012 is an abundant number, since it is smaller than the sum of its proper divisors (7022834604).

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

4463529012 is a wasteful number, since it uses less digits than its factorization.

4463529012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4463529012 is about 66809.6475967356. The cubic root of 4463529012 is about 1646.4913520258.

The spelling of 4463529012 in words is "four billion, four hundred sixty-three million, five hundred twenty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 347 402 603 694 804 1041 1206 1388 2082 2412 3123 4164 5333 6246 10666 12492 15999 21332 23249 31998 46498 47997 63996 69747 92996 95994 139494 191988 209241 278988 357311 418482 714622 836964 1071933 1429244 1850551 2143866 3215799 3701102 4287732 5551653 6431598 7402204 11103306 12863196 16654959 22206612 33309918 66619836 123986917 247973834 371960751 495947668 743921502 1115882253 1487843004 2231764506 4463529012