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6555665556 = 2233116079091
BaseRepresentation
bin1100001101011111…
…11000010010010100
3121220212122022112000
412012233320102110
5101411222244211
63002302355300
7321312144366
oct60657702224
917825568460
106555665556
112864558620
12132b58bb30
13806240c5b
14462934d36
152857e9656
hex186bf8494

6555665556 has 96 divisors (see below), whose sum is σ = 18573864960. Its totient is φ = 1983074400.

The previous prime is 6555665539. The next prime is 6555665593.

6555665556 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716571 + ... + 725661.

It is an arithmetic number, because the mean of its divisors is an integer number (193477760).

Almost surely, 26555665556 is an apocalyptic number.

6555665556 is a gapful number since it is divisible by the number (66) 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 6555665556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286932480).

6555665556 is an abundant number, since it is smaller than the sum of its proper divisors (12018199404).

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

6555665556 is a wasteful number, since it uses less digits than its factorization.

6555665556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9722 (or 9714 counting only the distinct ones).

The product of its digits is 20250000, while the sum is 54.

The square root of 6555665556 is about 80967.0646374191. The cubic root of 6555665556 is about 1871.5679373509.

The spelling of 6555665556 in words is "six billion, five hundred fifty-five million, six hundred sixty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 607 1188 1214 1821 2428 3642 5463 6677 7284 9091 10926 13354 16389 18182 20031 21852 26708 27273 32778 36364 40062 54546 60093 65556 80124 81819 100001 109092 120186 163638 180279 200002 240372 245457 300003 327276 360558 400004 490914 600006 721116 900009 981828 1200012 1800018 2700027 3600036 5400054 5518237 10800108 11036474 16554711 22072948 33109422 49664133 60700607 66218844 99328266 121401214 148992399 182101821 198656532 242802428 297984798 364203642 546305463 595969596 728407284 1092610926 1638916389 2185221852 3277832778 6555665556