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562417920483904 = 261792165612
BaseRepresentation
bin111111111100001000010000…
…0010111011010001001000000
32201202100121221212221021210201
41333320100200113122021000
51042204123400120441104
65312055120435334544
7226315232240205232
oct17770204027321100
92652317855837721
10562417920483904
111532271119a9931
12530b443b751454
131b1a8a22a240b4
149cc525b854252
154504baa2750a4
hex1ff84205da240

562417920483904 has 63 divisors (see below), whose sum is σ = 1122385571015961. Its totient is φ = 279621075133440.

The previous prime is 562417920483889. The next prime is 562417920483959. The reversal of 562417920483904 is 409384029714265.

The square root of 562417920483904 is 23715352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24252157923904 + 538165762560000 = 4924648^2 + 23198400^2 .

It is a super-3 number, since 3×5624179204839043 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33960375784 + ... + 33960392344.

It is a 2-persistent number, because it is pandigital, and so is 2⋅562417920483904 = 1124835840967808, but 3⋅562417920483904 = 1687253761451712 is not.

Almost surely, 2562417920483904 is an apocalyptic number.

562417920483904 is the 23715352-nd square number.

It is an amenable number.

562417920483904 is a deficient number, since it is larger than the sum of its proper divisors (559967650532057).

562417920483904 is an frugal number, since it uses more digits than its factorization.

562417920483904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33492 (or 16742 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

562417920483904 divided by its sum of digits (64) gives a square (8787780007561 = 29644192).

The spelling of 562417920483904 in words is "five hundred sixty-two trillion, four hundred seventeen billion, nine hundred twenty million, four hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 179 358 716 1432 2864 5728 11456 16561 32041 33122 64082 66244 128164 132488 256328 264976 512656 529952 1025312 1059904 2050624 2964419 5928838 11857676 23715352 47430704 94861408 189722816 274266721 530631001 548533442 1061262002 1097066884 2122524004 2194133768 4245048008 4388267536 8490096016 8776535072 16980192032 17553070144 33960384064 49093743059 98187486118 196374972236 392749944472 785499888944 1570999777888 3141999555776 8787780007561 17575560015122 35151120030244 70302240060488 140604480120976 281208960241952 562417920483904