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472811432406105 = 351312769379275183
BaseRepresentation
bin110101110000001001111110…
…1011110010110110001011001
32022000002022221122221212210110
41223200103331132112301121
5443433020303143443410
64353330323512034533
7201406333026512502
oct15340237536266131
92260068848855713
10472811432406105
1112771a225474201
1245042034092a49
13173a8c08139610
1484a82a4393ba9
15399dd9c8e8720
hex1ae04fd796c59

472811432406105 has 64 divisors (see below), whose sum is σ = 821120172687360. Its totient is φ = 230931712924416.

The previous prime is 472811432406097. The next prime is 472811432406109. The reversal of 472811432406105 is 501604234118274.

It is not a de Polignac number, because 472811432406105 - 23 = 472811432406097 is a prime.

It is a super-2 number, since 2×4728114324061052 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (472811432406109) 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, 1718033344 + ... + 1718308526.

It is an arithmetic number, because the mean of its divisors is an integer number (12830002698240).

Almost surely, 2472811432406105 is an apocalyptic number.

It is an amenable number.

472811432406105 is a deficient number, since it is larger than the sum of its proper divisors (348308740281255).

472811432406105 is a wasteful number, since it uses less digits than its factorization.

472811432406105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344710.

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 472811432406105 in words is "four hundred seventy-two trillion, eight hundred eleven billion, four hundred thirty-two million, four hundred six thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 127 195 381 635 1651 1905 4953 8255 24765 69379 208137 275183 346895 825549 901927 1040685 1375915 2705781 3577379 4127745 4509635 8811133 10732137 13528905 17886895 26433399 34948241 44055665 53660685 104844723 114544729 132166995 174741205 343634187 454327133 524223615 572723645 1362981399 1718170935 2271635665 6814906995 19091921357 57275764071 95459606785 248194977641 286378820355 744584932923 1240974888205 2424674012339 3722924664615 7274022037017 12123370061695 31520762160407 36370110185085 94562286481221 157603810802035 472811432406105