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706791969092196 = 223413997280160089
BaseRepresentation
bin1010000010110100101101010…
…0001111110111001001100100
310102200112122121120022121110000
42200231023110033313021210
51220120034423041422241
610543115425332301300
7301606014611226351
oct24055132417671144
93380478546277400
10706791969092196
11195229877584379
1267331028471830
132444c2731b6970
14c676cb17a3628
1556aa433b63eb6
hex282d2d43f7264

706791969092196 has 240 divisors, whose sum is σ = 1992564195819120. Its totient is φ = 217175145062400.

The previous prime is 706791969092119. The next prime is 706791969092197. The reversal of 706791969092196 is 691290969197607.

It is a happy number.

706791969092196 is a `hidden beast` number, since 7 + 0 + 6 + 79 + 196 + 90 + 92 + 196 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 93113429220900 + 613678539871296 = 9649530^2 + 24772536^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (706791969092197) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11762388520 + ... + 11762448608.

It is an arithmetic number, because the mean of its divisors is an integer number (8302350815913).

Almost surely, 2706791969092196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706791969092196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996282097909560).

706791969092196 is an abundant number, since it is smaller than the sum of its proper divisors (1285772226726924).

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

706791969092196 is a wasteful number, since it uses less digits than its factorization.

706791969092196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63916 (or 63905 counting only the distinct ones).

The product of its (nonzero) digits is 1249949232, while the sum is 81.

The spelling of 706791969092196 in words is "seven hundred six trillion, seven hundred ninety-one billion, nine hundred sixty-nine million, ninety-two thousand, one hundred ninety-six".