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60563241216 = 283417092
BaseRepresentation
bin111000011001110110…
…011011100100000000
312210022202102102110000
4320121312123210000
51443013142204331
643453344240000
74242546025242
oct703166334400
9183282372400
1060563241216
1123759409575
12b8a2610000
13593235560a
142d075cc092
151896e0e0e6
hexe19d9b900

60563241216 has 135 divisors (see below), whose sum is σ = 180694357921. Its totient is φ = 20175934464.

The previous prime is 60563241203. The next prime is 60563241229. The reversal of 60563241216 is 61214236506.

The square root of 60563241216 is 246096.

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

60563241216 is a `hidden beast` number, since 6 + 0 + 5 + 632 + 4 + 1 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (60563241203) and next prime (60563241229).

It can be written as a sum of positive squares in only one way, i.e., 11385743616 + 49177497600 = 106704^2 + 221760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 35436970 + ... + 35438678.

Almost surely, 260563241216 is an apocalyptic number.

60563241216 is the 246096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60563241216

60563241216 is an abundant number, since it is smaller than the sum of its proper divisors (120131116705).

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

60563241216 is an frugal number, since it uses more digits than its factorization.

60563241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 60563241216 by its sum of digits (36), we get a square (2180276683776 = 14765762).

60563241216 divided by its sum of digits (36) gives a square (1682312256 = 410162).

The spelling of 60563241216 in words is "sixty billion, five hundred sixty-three million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1709 1728 2304 2592 3418 3456 5127 5184 6836 6912 10254 10368 13672 15381 20508 20736 27344 30762 41016 46143 54688 61524 82032 92286 109376 123048 138429 164064 184572 218752 246096 276858 328128 369144 437504 492192 553716 656256 738288 984384 1107432 1312512 1476576 1968768 2214864 2920681 2953152 3937536 4429728 5841362 5906304 8762043 8859456 11682724 11812608 17524086 17718912 23365448 26286129 35048172 35437824 46730896 52572258 70096344 78858387 93461792 105144516 140192688 157716774 186923584 210289032 236575161 280385376 315433548 373847168 420578064 473150322 560770752 630867096 747694336 841156128 946300644 1121541504 1261734192 1682312256 1892601288 2243083008 2523468384 3364624512 3785202576 5046936768 6729249024 7570405152 10093873536 15140810304 20187747072 30281620608 60563241216