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7122675420 = 223257231072297
BaseRepresentation
bin1101010001000101…
…10110011011011100
3200101101120101211100
412220202312123130
5104041401103140
63134435353100
7341335512360
oct65042663334
920341511740
107122675420
113025623513
121469452790
13896858853
144b7d712a0
152ba49c530
hex1a88b66dc

7122675420 has 288 divisors, whose sum is σ = 26017625088. Its totient is φ = 1542030336.

The previous prime is 7122675409. The next prime is 7122675433. The reversal of 7122675420 is 245762217.

It is a happy number.

7122675420 is a `hidden beast` number, since 7 + 1 + 226 + 7 + 5 + 420 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3099712 + ... + 3102008.

It is an arithmetic number, because the mean of its divisors is an integer number (90338976).

Almost surely, 27122675420 is an apocalyptic number.

7122675420 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 7122675420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008812544).

7122675420 is an abundant number, since it is smaller than the sum of its proper divisors (18894949668).

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

7122675420 is a wasteful number, since it uses less digits than its factorization.

7122675420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7122675420 is about 84395.9443338363. The cubic root of 7122675420 is about 1924.0412762384.

The spelling of 7122675420 in words is "seven billion, one hundred twenty-two million, six hundred seventy-five thousand, four hundred twenty".