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2506068396 = 22341317311129
BaseRepresentation
bin1001010101011111…
…1001000110101100
320110122121110120000
42111113321012230
520113023142041
61052401424300
7116050141566
oct22527710654
96418543500
102506068396
111076679307
1259b33b090
1330c275610
1419ab90336
15ea028bb6
hex955f91ac

2506068396 has 240 divisors, whose sum is σ = 7718135040. Its totient is φ = 701706240.

The previous prime is 2506068373. The next prime is 2506068443. The reversal of 2506068396 is 6938606052.

It is a happy number.

2506068396 is a `hidden beast` number, since 2 + 5 + 0 + 606 + 8 + 39 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 79 ways as a sum of consecutive naturals, for example, 2219160 + ... + 2220288.

It is an arithmetic number, because the mean of its divisors is an integer number (32158896).

Almost surely, 22506068396 is an apocalyptic number.

2506068396 is a gapful number since it is divisible by the number (26) 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 2506068396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859067520).

2506068396 is an abundant number, since it is smaller than the sum of its proper divisors (5212066644).

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

2506068396 is a wasteful number, since it uses less digits than its factorization.

2506068396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2506068396 is about 50060.6471791966. The cubic root of 2506068396 is about 1358.3060650311.

The spelling of 2506068396 in words is "two billion, five hundred six million, sixty-eight thousand, three hundred ninety-six".