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70082182025856 = 27347111312753171
BaseRepresentation
bin11111110111101010001111…
…00100001001001010000000
3100012010210100202121020120000
433323311013210021022000
533141211302044311411
6405015150541320000
720522161542233040
oct1773650744111200
9305123322536500
1070082182025856
112036a760795560
127a3a490b66000
13301494bc18b80
141343dd231d720
15817ee9830956
hex3fbd47909280

70082182025856 has 1280 divisors, whose sum is σ = 282239494225920. Its totient is φ = 16670300774400.

The previous prime is 70082182025839. The next prime is 70082182025893. The reversal of 70082182025856 is 65852028128007.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1318026151 + ... + 1318079321.

It is an arithmetic number, because the mean of its divisors is an integer number (220499604864).

Almost surely, 270082182025856 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 70082182025856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141119747112960).

70082182025856 is an abundant number, since it is smaller than the sum of its proper divisors (212157312200064).

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

70082182025856 is a wasteful number, since it uses less digits than its factorization.

70082182025856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53355 (or 53334 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 70082182025856 in words is "seventy trillion, eighty-two billion, one hundred eighty-two million, twenty-five thousand, eight hundred fifty-six".