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1001106665632 = 25264734073469
BaseRepresentation
bin11101001000101101001…
…10110111000010100000
310112201000211210212100001
432210112212313002200
5112400231301300012
62043522502105344
7132220233153313
oct16442646670240
93481024725301
101001106665632
11356626683197
1214203071b254
1373533641488
143664d3dc97a
151b0939b7357
hexe9169b70a0

1001106665632 has 48 divisors (see below), whose sum is σ = 1972820586240. Its totient is φ = 500073170688.

The previous prime is 1001106665623. The next prime is 1001106665651. The reversal of 1001106665632 is 2365666011001.

It is a junction number, because it is equal to n+sod(n) for n = 1001106665591 and 1001106665600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288584794 + ... + 288588262.

It is an arithmetic number, because the mean of its divisors is an integer number (41100428880).

Almost surely, 21001106665632 is an apocalyptic number.

It is an amenable number.

1001106665632 is a deficient number, since it is larger than the sum of its proper divisors (971713920608).

1001106665632 is a wasteful number, since it uses less digits than its factorization.

1001106665632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9533 (or 9525 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 1001106665632 in words is "one trillion, one billion, one hundred six million, six hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 2647 3407 3469 5294 6814 6938 10588 13628 13876 21176 27256 27752 42352 54512 55504 84704 109024 111008 9018329 9182443 11818883 18036658 18364886 23637766 36073316 36729772 47275532 72146632 73459544 94551064 144293264 146919088 189102128 288586528 293838176 378204256 31284583301 62569166602 125138333204 250276666408 500553332816 1001106665632