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7212048480 = 25325713471171
BaseRepresentation
bin1101011011101111…
…10010000001100000
3200121121202000121200
412231313302001200
5104232241022410
63151351121200
7343502254260
oct65567620140
920547660550
107212048480
11307101684a
121493373200
138ac21b310
144c5b977a0
152c32533c0
hex1addf2060

7212048480 has 576 divisors, whose sum is σ = 30961502208. Its totient is φ = 1488015360.

The previous prime is 7212048469. The next prime is 7212048491. The reversal of 7212048480 is 848402127.

It is an interprime number because it is at equal distance from previous prime (7212048469) and next prime (7212048491).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6158295 + ... + 6159465.

It is an arithmetic number, because the mean of its divisors is an integer number (53752608).

Almost surely, 27212048480 is an apocalyptic number.

7212048480 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 7212048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480751104).

7212048480 is an abundant number, since it is smaller than the sum of its proper divisors (23749453728).

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

7212048480 is a wasteful number, since it uses less digits than its factorization.

7212048480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 7212048480 is about 84923.7804151464. The cubic root of 7212048480 is about 1932.0552689203.

The spelling of 7212048480 in words is "seven billion, two hundred twelve million, forty-eight thousand, four hundred eighty".