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7213567680 = 26325111092089
BaseRepresentation
bin1101011011111011…
…00100111011000000
3200121201121012120100
412231331210323000
5104233133131210
63151443442400
7343521212364
oct65575447300
920551535510
107213567680
113071964190
121493986400
138ac630957
144c60712a4
152c34535c0
hex1adf64ec0

7213567680 has 336 divisors, whose sum is σ = 27328672800. Its totient is φ = 1731870720.

The previous prime is 7213567643. The next prime is 7213567733. The reversal of 7213567680 is 867653127.

7213567680 is a `hidden beast` number, since 7 + 2 + 1 + 3 + 567 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3452076 + ... + 3454164.

Almost surely, 27213567680 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 7213567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664336400).

7213567680 is an abundant number, since it is smaller than the sum of its proper divisors (20115105120).

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

7213567680 is a wasteful number, since it uses less digits than its factorization.

7213567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7213567680 is about 84932.7244352847. The cubic root of 7213567680 is about 1932.1909202682.

The spelling of 7213567680 in words is "seven billion, two hundred thirteen million, five hundred sixty-seven thousand, six hundred eighty".