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5007306672 = 2432229151847
BaseRepresentation
bin1001010100111010…
…10110111110110000
3110220222010112102200
410222131112332300
540223332303142
62144511543200
7235041255504
oct45235267660
913828115380
105007306672
11213a548685
12b78b2ab00
1361a519574
14357044304
151e48eb64c
hex12a756fb0

5007306672 has 60 divisors (see below), whose sum is σ = 14074791120. Its totient is φ = 1661802624.

The previous prime is 5007306659. The next prime is 5007306673. The reversal of 5007306672 is 2766037005.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5007306673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42948 + ... + 108899.

It is an arithmetic number, because the mean of its divisors is an integer number (234579852).

Almost surely, 25007306672 is an apocalyptic number.

It is an amenable number.

5007306672 is an abundant number, since it is smaller than the sum of its proper divisors (9067484448).

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

5007306672 is a wasteful number, since it uses less digits than its factorization.

5007306672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152090 (or 152081 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 5007306672 is about 70762.3252303088. The cubic root of 5007306672 is about 1710.8084901582.

The spelling of 5007306672 in words is "five billion, seven million, three hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 32976 151847 303694 455541 607388 911082 1214776 1366623 1822164 2429552 2733246 3644328 5466492 7288656 10932984 21865968 34772963 69545926 104318889 139091852 208637778 278183704 312956667 417275556 556367408 625913334 834551112 1251826668 1669102224 2503653336 5007306672