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840073067552196 = 2236172315732
BaseRepresentation
bin1011111100000010101100000…
…0110001101101110111000100
311002011110012102110221111000000
42333000223000301231313010
51340102224120243132241
612134404123421321300
7341643163514614152
oct27700530061556704
94064405373844000
10840073067552196
11223744a94a78835
127a277956706230
132a09972018473a
1410b63a795323d2
15671c365a23eb6
hex2fc0ac0c6ddc4

840073067552196 has 189 divisors, whose sum is σ = 2341542431462871. Its totient is φ = 263543987522304.

The previous prime is 840073067552177. The next prime is 840073067552197. The reversal of 840073067552196 is 691255760370048.

The square root of 840073067552196 is 28984014.

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

840073067552196 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 7 + 3 + 0 + 67 + 552 + 19 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45205263992196 + 794867803560000 = 6723486^2 + 28193400^2 .

It is not an unprimeable number, because it can be changed into a prime (840073067552197) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 26607309066 + ... + 26607340638.

It is a 1-persistent number, because it is pandigital, but 2⋅840073067552196 = 1680146135104392 is not.

Almost surely, 2840073067552196 is an apocalyptic number.

840073067552196 is the 28984014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840073067552196

840073067552196 is an abundant number, since it is smaller than the sum of its proper divisors (1501469363910675).

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

840073067552196 is an frugal number, since it uses more digits than its factorization.

840073067552196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63202 (or 31595 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 840073067552196 in words is "eight hundred forty trillion, seventy-three billion, sixty-seven million, five hundred fifty-two thousand, one hundred ninety-six".