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56662426665 = 33513314432351
BaseRepresentation
bin110100110001010110…
…000000010000101001
312102020220100111212000
4310301112000100221
51412021040123130
642010320241213
74044101452125
oct646126002051
9172226314760
1056662426665
112203750a899
12ab94170209
135460150a20
142a574d6585
15171972c260
hexd31580429

56662426665 has 128 divisors (see below), whose sum is σ = 112281845760. Its totient is φ = 26923104000.

The previous prime is 56662426663. The next prime is 56662426673.

56662426665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56662426665 - 21 = 56662426663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56662426663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24100240 + ... + 24102590.

It is an arithmetic number, because the mean of its divisors is an integer number (877201920).

Almost surely, 256662426665 is an apocalyptic number.

It is an amenable number.

56662426665 is a deficient number, since it is larger than the sum of its proper divisors (55619419095).

56662426665 is a wasteful number, since it uses less digits than its factorization.

56662426665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2846 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 56662426665 in words is "fifty-six billion, six hundred sixty-two million, four hundred twenty-six thousand, six hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 93 117 135 155 195 279 351 403 443 465 585 837 1209 1329 1395 1755 2015 2215 2351 3627 3987 4185 5759 6045 6645 7053 10881 11755 11961 13733 17277 18135 19935 21159 28795 30563 35265 41199 51831 54405 59805 63477 68665 72881 86385 91689 105795 123597 152815 155493 178529 205995 218643 259155 275067 317385 364405 370791 458445 535587 617985 655929 777465 825201 892645 947453 1041493 1093215 1375335 1606761 1853955 1967787 2677935 2842359 3124479 3279645 4126005 4737265 4820283 5207465 8033805 8527077 9373437 9838935 13539409 14211795 15622395 24101415 25581231 28120311 32286283 40618227 42635385 46867185 67697045 96858849 121854681 127906155 140601555 161431415 203091135 290576547 365564043 419721679 484294245 609273405 871729641 1259165037 1452882735 1827820215 2098608395 3777495111 4358648205 6295825185 11332485333 18887475555 56662426665