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66474542656 = 261072257353
BaseRepresentation
bin111101111010001100…
…010000011001000000
320100120201120122120101
4331322030100121000
52042114440331111
650312112052144
74542205201234
oct757214203100
9210521518511
1066474542656
1126212167865
1210a72234054
136364c36912
14330870c5c4
151ae0d75bc1
hexf7a310640

66474542656 has 84 divisors (see below), whose sum is σ = 134051538348. Its totient is φ = 32705609728.

The previous prime is 66474542599. The next prime is 66474542749. The reversal of 66474542656 is 65624547466.

It can be written as a sum of positive squares in 2 ways, for example, as 51068768256 + 15405774400 = 225984^2 + 124120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66474542597 and 66474542606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188312976 + ... + 188313328.

It is an arithmetic number, because the mean of its divisors is an integer number (1595851647).

Almost surely, 266474542656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66474542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67025769174).

66474542656 is an abundant number, since it is smaller than the sum of its proper divisors (67576995692).

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

66474542656 is a wasteful number, since it uses less digits than its factorization.

66474542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 719 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 55.

The spelling of 66474542656 in words is "sixty-six billion, four hundred seventy-four million, five hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 107 214 257 353 428 514 706 856 1028 1412 1712 2056 2824 3424 4112 5648 6848 8224 11296 11449 16448 22592 22898 27499 37771 45796 54998 75542 90721 91592 109996 151084 181442 183184 219992 302168 362884 366368 439984 604336 725768 732736 879968 1208672 1451536 1759936 2417344 2903072 2942393 4041497 5806144 5884786 8082994 9707147 11769572 16165988 19414294 23539144 32331976 38828588 47078288 64663952 77657176 94156576 129327904 155314352 188313152 258655808 310628704 621257408 1038664729 2077329458 4154658916 8309317832 16618635664 33237271328 66474542656