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8122471344 = 2436131723137
BaseRepresentation
bin1111001000010001…
…10001001110110000
3202222001212022000000
413210020301032300
5113113323040334
63421552430000
7405165603321
oct74410611660
922861768000
108122471344
113498a17a39
1216a8248300
139c5a23b80
14570a68448
1532813d299
hex1e42313b0

8122471344 has 560 divisors, whose sum is σ = 28279564992. Its totient is φ = 2233516032.

The previous prime is 8122471339. The next prime is 8122471411. The reversal of 8122471344 is 4431742218.

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

It is a junction number, because it is equal to n+sod(n) for n = 8122471299 and 8122471308.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 59288044 + ... + 59288180.

Almost surely, 28122471344 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 8122471344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14139782496).

8122471344 is an abundant number, since it is smaller than the sum of its proper divisors (20157093648).

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

8122471344 is a wasteful number, since it uses less digits than its factorization.

8122471344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 8122471344 is about 90124.7543353101. The cubic root of 8122471344 is about 2010.1543031464.

The spelling of 8122471344 in words is "eight billion, one hundred twenty-two million, four hundred seventy-one thousand, three hundred forty-four".