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423396257760 = 25335714001199
BaseRepresentation
bin1100010100101000110…
…00100010111111100000
31111110212012202102001000
412022110120202333200
523414103420222020
6522301111112000
742406103545020
oct6122430427740
91443765672030
10423396257760
1115361a171113
126a082672600
1330c0682b648
14166c755da80
15b0308cd090
hex6294622fe0

423396257760 has 192 divisors, whose sum is σ = 1693585152000. Its totient is φ = 96776280576.

The previous prime is 423396257749. The next prime is 423396257783. The reversal of 423396257760 is 67752693324.

423396257760 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 9 + 6 + 2 + 577 + 60 = 666.

It is a super-4 number, since 4×4233962577604 (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 423396257697 and 423396257706.

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 31 ways as a sum of consecutive naturals, for example, 6970360 + ... + 7030839.

It is an arithmetic number, because the mean of its divisors is an integer number (8820756000).

Almost surely, 2423396257760 is an apocalyptic number.

423396257760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423396257760 is an abundant number, since it is smaller than the sum of its proper divisors (1270188894240).

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

423396257760 is a wasteful number, since it uses less digits than its factorization.

423396257760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14001230 (or 14001216 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 423396257760 in words is "four hundred twenty-three billion, three hundred ninety-six million, two hundred fifty-seven thousand, seven hundred sixty".