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5506105111100 = 2252116774709703
BaseRepresentation
bin101000000011111110101…
…1100000111001000111100
3201111101012221011121122122
41100013331130013020330
51210203000402023400
615413245245302112
71105542263140316
oct120077534071074
921441187147578
105506105111100
111833142878320
1274b153564938
1330c2b9cc0ac9
141506d573a7b6
159835e301685
hex501fd70723c

5506105111100 has 72 divisors (see below), whose sum is σ = 13228996706688. Its totient is φ = 1972336132800.

The previous prime is 5506105111097. The next prime is 5506105111147. The reversal of 5506105111100 is 11115016055.

It is a self number, because there is not a number n which added to its sum of digits gives 5506105111100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37281152 + ... + 37428551.

Almost surely, 25506105111100 is an apocalyptic number.

5506105111100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5506105111100 is an abundant number, since it is smaller than the sum of its proper divisors (7722891595588).

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

5506105111100 is a wasteful number, since it uses less digits than its factorization.

5506105111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74709795 (or 74709788 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 5506105111100 in words is "five trillion, five hundred six billion, one hundred five million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 36850 73700 74709703 149419406 298838812 373548515 747097030 821806733 1494194060 1643613466 1867742575 3287226932 3735485150 4109033665 5005550101 7470970300 8218067330 10011100202 16436134660 20022200404 20545168325 25027750505 41090336650 50055501010 55061051111 82180673300 100111002020 110122102222 125138752525 220244204444 250277505050 275305255555 500555010100 550610511110 1101221022220 1376526277775 2753052555550 5506105111100