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1493430643600 = 245274292432
BaseRepresentation
bin10101101110110111011…
…001110010101110010000
312021202210202020020220021
4111232313121302232100
5143432021221043400
63102023401353224
7212616414010000
oct25566731625620
95252722206807
101493430643600
115263a6734725
1220152aa98814
13aaaa33c0b7c
14523d4db0000
1528caa79871a
hex15bb7672b90

1493430643600 has 675 divisors, whose sum is σ = 4438183612083. Its totient is φ = 482879900160.

The previous prime is 1493430643589. The next prime is 1493430643603. The reversal of 1493430643600 is 63460343941.

The square root of 1493430643600 is 1222060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20528012176 + 1472902631424 = 143276^2 + 1213632^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1493430643603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 34730945179 + ... + 34730945221.

Almost surely, 21493430643600 is an apocalyptic number.

1493430643600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1493430643600 is the 1222060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1493430643600

1493430643600 is an abundant number, since it is smaller than the sum of its proper divisors (2944752968483).

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

1493430643600 is an frugal number, since it uses more digits than its factorization.

1493430643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 43.

The spelling of 1493430643600 in words is "one trillion, four hundred ninety-three billion, four hundred thirty million, six hundred forty-three thousand, six hundred".