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3970869346080 = 2533573132101157
BaseRepresentation
bin111001110010001010010…
…000011011111100100000
3112001121111201020011012000
4321302022100123330200
51010024320023033310
612240105303004000
7556612562352000
oct71621220337440
915047451204160
103970869346080
1112a104425317a
125416b8139600
1322a5b3886500
14da296552000
156d4588554c0
hex39c8a41bf20

3970869346080 has 2304 divisors, whose sum is σ = 17836930944000. Its totient is φ = 824231116800.

The previous prime is 3970869346051. The next prime is 3970869346201. The reversal of 3970869346080 is 806439680793.

3970869346080 is a `hidden beast` number, since 3 + 9 + 7 + 0 + 8 + 6 + 93 + 460 + 80 = 666.

It is a super-2 number, since 2×39708693460802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3970869345999 and 3970869346017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25292161362 + ... + 25292161518.

It is an arithmetic number, because the mean of its divisors is an integer number (7741723500).

Almost surely, 23970869346080 is an apocalyptic number.

3970869346080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3970869346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918465472000).

3970869346080 is an abundant number, since it is smaller than the sum of its proper divisors (13866061597920).

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

3970869346080 is a wasteful number, since it uses less digits than its factorization.

3970869346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3970869346080 in words is "three trillion, nine hundred seventy billion, eight hundred sixty-nine million, three hundred forty-six thousand, eighty".