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42655106560 = 295111514741
BaseRepresentation
bin100111101110011100…
…010100011000000000
311002002201002220222111
4213232130110120000
51144324201402220
631332342545104
73040014265153
oct475634243000
9132081086874
1042655106560
11170a9771990
128325138194
13403a17b031
1420c9075c9a
151199b5015a
hex9ee714600

42655106560 has 80 divisors (see below), whose sum is σ = 111569836752. Its totient is φ = 15510937600.

The previous prime is 42655106537. The next prime is 42655106563. The reversal of 42655106560 is 6560155624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42655106563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729211 + ... + 785530.

Almost surely, 242655106560 is an apocalyptic number.

42655106560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42655106560 is an abundant number, since it is smaller than the sum of its proper divisors (68914730192).

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

42655106560 is a wasteful number, since it uses less digits than its factorization.

42655106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514775 (or 1514759 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 42655106560 in words is "forty-two billion, six hundred fifty-five million, one hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 1514741 3029482 6058964 7573705 12117928 15147410 16662151 24235856 30294820 33324302 48471712 60589640 66648604 83310755 96943424 121179280 133297208 166621510 193886848 242358560 266594416 333243020 387773696 484717120 533188832 666486040 775547392 969434240 1066377664 1332972080 1938868480 2132755328 2665944160 3877736960 4265510656 5331888320 8531021312 10663776640 21327553280 42655106560