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5001625216 = 27721761769
BaseRepresentation
bin1001010100001111…
…01011111010000000
3110220120102212221101
410222013223322000
540220404001331
62144150104144
7234642053500
oct45207537200
913816385841
105001625216
112137318065
12b7704b054
136192aa563
143563a5a00
151e4178061
hex12a1ebe80

5001625216 has 192 divisors, whose sum is σ = 12490216200. Its totient is φ = 1981808640.

The previous prime is 5001625177. The next prime is 5001625217. The reversal of 5001625216 is 6125261005.

It can be written as a sum of positive squares in 4 ways, for example, as 3398423616 + 1603201600 = 58296^2 + 40040^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5001625217) 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, 6503680 + ... + 6504448.

Almost surely, 25001625216 is an apocalyptic number.

5001625216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5001625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245108100).

5001625216 is an abundant number, since it is smaller than the sum of its proper divisors (7488590984).

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

5001625216 is a wasteful number, since it uses less digits than its factorization.

5001625216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 5001625216 is about 70722.1691975013. The cubic root of 5001625216 is about 1710.1611986244.

The spelling of 5001625216 in words is "five billion, one million, six hundred twenty-five thousand, two hundred sixteen".