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34075453445660 = 225111747337575231
BaseRepresentation
bin1111011111101110011110…
…10011000101011000011100
311110122120200221100122100202
413233313033103011120130
513431243012040230120
6200250014110243032
710114604334166424
oct757671723053034
9143576627318322
1034075453445660
11a948356141180
1239a40744b6478
1316023bc446043
1485b3916bb484
153e15aa01a875
hex1efdcf4c561c

34075453445660 has 192 divisors, whose sum is σ = 84665020317696. Its totient is φ = 11380166246400.

The previous prime is 34075453445647. The next prime is 34075453445687. The reversal of 34075453445660 is 6654435457043.

It is a super-2 number, since 2×340754534456602 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34075453445596 and 34075453445605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58950245 + ... + 59525475.

It is an arithmetic number, because the mean of its divisors is an integer number (440963647488).

Almost surely, 234075453445660 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 34075453445660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42332510158848).

34075453445660 is an abundant number, since it is smaller than the sum of its proper divisors (50589566872036).

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

34075453445660 is a wasteful number, since it uses less digits than its factorization.

34075453445660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575652 (or 575650 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 56.

The spelling of 34075453445660 in words is "thirty-four trillion, seventy-five billion, four hundred fifty-three million, four hundred forty-five thousand, six hundred sixty".