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5004167130 = 2325127743541
BaseRepresentation
bin1001010100100010…
…11000011111011010
3110220202020000210100
410222101120133122
540222031322010
62144320400230
7235002501354
oct45221303732
913822200710
105004167130
1121387a3916
12b77a76076
1361998a551
143568680d4
151e44cb2c0
hex12a4587da

5004167130 has 48 divisors (see below), whose sum is σ = 13021322184. Its totient is φ = 1333368960.

The previous prime is 5004167099. The next prime is 5004167131. The reversal of 5004167130 is 317614005.

It can be written as a sum of positive squares in 4 ways, for example, as 3363188049 + 1640979081 = 57993^2 + 40509^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5004167094 and 5004167103.

It is not an unprimeable number, because it can be changed into a prime (5004167131) 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, 93160 + ... + 136700.

Almost surely, 25004167130 is an apocalyptic number.

5004167130 is an abundant number, since it is smaller than the sum of its proper divisors (8017155054).

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

5004167130 is a wasteful number, since it uses less digits than its factorization.

5004167130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44831 (or 44828 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5004167130 is about 70740.1380405778. The cubic root of 5004167130 is about 1710.4508609036.

The spelling of 5004167130 in words is "five billion, four million, one hundred sixty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1277 2554 3831 6385 7662 11493 12770 19155 22986 38310 43541 57465 87082 114930 130623 217705 261246 391869 435410 653115 783738 1306230 1959345 3918690 55601857 111203714 166805571 278009285 333611142 500416713 556018570 834027855 1000833426 1668055710 2502083565 5004167130