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425580206688 = 253271385319037
BaseRepresentation
bin1100011000101101000…
…11101001101001100000
31111200111102020111202100
412030112203221221200
523433042013103223
6523301524450400
742514163033040
oct6142643515140
91450442214670
10425580206688
1115453aa2828a
126a591b49a00
1331194130110
141685361d720
15b10c4c9043
hex63168e9a60

425580206688 has 288 divisors, whose sum is σ = 1491355285056. Its totient is φ = 112103460864.

The previous prime is 425580206677. The next prime is 425580206699. The reversal of 425580206688 is 886602085524.

It is a happy number.

425580206688 is a `hidden beast` number, since 4 + 2 + 558 + 0 + 2 + 0 + 6 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (425580206677) and next prime (425580206699).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4255802066882 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 22345906 + ... + 22364942.

It is an arithmetic number, because the mean of its divisors is an integer number (5178316962).

Almost surely, 2425580206688 is an apocalyptic number.

425580206688 is a gapful number since it is divisible by the number (48) 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 425580206688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745677642528).

425580206688 is an abundant number, since it is smaller than the sum of its proper divisors (1065775078368).

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

425580206688 is a wasteful number, since it uses less digits than its factorization.

425580206688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19926 (or 19915 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 425580206688 in words is "four hundred twenty-five billion, five hundred eighty million, two hundred six thousand, six hundred eighty-eight".