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69870348900 = 223652112892
BaseRepresentation
bin100000100010010011…
…0001110101001100100
320200100101101111000000
41001010212032221210
52121043302131100
652033100021300
75022311111052
oct1010446165144
9220311344000
1069870348900
11276a4a99300
121165b531830
136786621921
14354b7071d2
151c3e050900
hex104498ea64

69870348900 has 567 divisors, whose sum is σ = 252707579803. Its totient is φ = 16747948800.

The previous prime is 69870348853. The next prime is 69870348917. The reversal of 69870348900 is 984307896.

The square root of 69870348900 is 264330.

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

69870348900 is a `hidden beast` number, since 6 + 98 + 70 + 3 + 489 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14540018724 + 55330330176 = 120582^2 + 235224^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 785060056 + ... + 785060144.

Almost surely, 269870348900 is an apocalyptic number.

69870348900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

69870348900 is the 264330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69870348900

69870348900 is an abundant number, since it is smaller than the sum of its proper divisors (182837230903).

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

69870348900 is a wasteful number, since it uses less digits than its factorization.

69870348900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 69870348900 in words is "sixty-nine billion, eight hundred seventy million, three hundred forty-eight thousand, nine hundred".