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472558666047 = 3131731214110739
BaseRepresentation
bin1101110000001101011…
…00010000000100111111
31200011202102111111211120
412320012230100010333
530220300004303142
61001031312122023
746066305246306
oct6700654200477
91604672444746
10472558666047
11172458058106
1277702b36313
133573cbb5b70
1418c2c93b43d
15c45b9727ec
hex6e06b1013f

472558666047 has 64 divisors (see below), whose sum is σ = 742051860480. Its totient is φ = 264721766400.

The previous prime is 472558666001. The next prime is 472558666061. The reversal of 472558666047 is 740666855274.

It is a happy number.

It is not a de Polignac number, because 472558666047 - 210 = 472558665023 is a prime.

It is a super-2 number, since 2×4725586660472 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472558666087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43998604 + ... + 44009342.

It is an arithmetic number, because the mean of its divisors is an integer number (11594560320).

Almost surely, 2472558666047 is an apocalyptic number.

472558666047 is a deficient number, since it is larger than the sum of its proper divisors (269493194433).

472558666047 is a wasteful number, since it uses less digits than its factorization.

472558666047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12944.

The product of its (nonzero) digits is 67737600, while the sum is 60.

The spelling of 472558666047 in words is "four hundred seventy-two billion, five hundred fifty-eight million, six hundred sixty-six thousand, forty-seven".

Divisors: 1 3 13 17 31 39 51 93 221 403 527 663 1209 1581 2141 6423 6851 10739 20553 27833 32217 36397 66371 83499 109191 139607 182563 199113 332909 418821 473161 547689 862823 998727 1128307 1419483 2373319 2588469 3384921 4327817 5659453 7119957 12983451 14667991 16978359 22992199 44003973 68976597 73572889 220718667 298898587 390867383 712758169 896695761 1172602149 2138274507 5081275979 9265856197 12116888873 15243827937 27797568591 36350666619 157519555349 472558666047