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5312010672 = 24331737113173
BaseRepresentation
bin1001111001001111…
…01101100110110000
3111201012111002202000
410330213231212300
541334333320142
62235034454000
7245431226403
oct47447554660
914635432660
105312010672
112286545271
121042b94300
136686a34a7
143856bdd3a
1521153914c
hex13c9ed9b0

5312010672 has 320 divisors, whose sum is σ = 16824101760. Its totient is φ = 1597833216.

The previous prime is 5312010667. The next prime is 5312010677. The reversal of 5312010672 is 2760102135.

It is a happy number.

5312010672 is a `hidden beast` number, since 531 + 20 + 106 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5312010667) and next prime (5312010677).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5312010677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30705178 + ... + 30705350.

It is an arithmetic number, because the mean of its divisors is an integer number (52575318).

Almost surely, 25312010672 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 5312010672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8412050880).

5312010672 is an abundant number, since it is smaller than the sum of its proper divisors (11512091088).

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

5312010672 is a wasteful number, since it uses less digits than its factorization.

5312010672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

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

The square root of 5312010672 is about 72883.5418458790. The cubic root of 5312010672 is about 1744.8294370555.

The spelling of 5312010672 in words is "five billion, three hundred twelve million, ten thousand, six hundred seventy-two".