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75252972480 = 2635717976791
BaseRepresentation
bin100011000010101101…
…1010011101111000000
321012020111202002102220
41012011123103233000
52213104230104410
654323140211040
75302560466140
oct1060533235700
9235214662386
1075252972480
1129a07383044
1212702099a80
1371338198aa
1438dc528920
151e56887070
hex11856d3bc0

75252972480 has 448 divisors, whose sum is σ = 292146849792. Its totient is φ = 16019619840.

The previous prime is 75252972479. The next prime is 75252972481. The reversal of 75252972480 is 8427925257.

It is an interprime number because it is at equal distance from previous prime (75252972479) and next prime (75252972481).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×752529724803 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75252972481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11077885 + ... + 11084675.

It is an arithmetic number, because the mean of its divisors is an integer number (652113504).

Almost surely, 275252972480 is an apocalyptic number.

75252972480 is a gapful number since it is divisible by the number (70) 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 75252972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146073424896).

75252972480 is an abundant number, since it is smaller than the sum of its proper divisors (216893877312).

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

75252972480 is a wasteful number, since it uses less digits than its factorization.

75252972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 75252972480 in words is "seventy-five billion, two hundred fifty-two million, nine hundred seventy-two thousand, four hundred eighty".