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16570606631401 = 1722322923592
BaseRepresentation
bin1111000100100010010100…
…0111110011100111101001
32011200010122001211000200101
43301020211013303213221
54132443100244201101
655124233120305401
73330121036243354
oct361104507634751
964603561730611
1016570606631401
1153096114a30a9
121a375b2772261
139327a865b804
1441404354929b
151db08d4ec401
hexf12251f39e9

16570606631401 has 81 divisors (see below), whose sum is σ = 19110936589381. Its totient is φ = 14363256802048.

The previous prime is 16570606631389. The next prime is 16570606631437. The reversal of 16570606631401 is 10413660607561.

The square root of 16570606631401 is 4070701.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1637977627225 + 14932629004176 = 1279835^2 + 3864276^2 .

It is not a de Polignac number, because 16570606631401 - 221 = 16570604534249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16570606631701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46157678460 + ... + 46157678818.

Almost surely, 216570606631401 is an apocalyptic number.

16570606631401 is the 4070701-st square number.

16570606631401 is the 2035351-st centered octagonal number.

It is an amenable number.

16570606631401 is a deficient number, since it is larger than the sum of its proper divisors (2540329957980).

16570606631401 is an frugal number, since it uses more digits than its factorization.

16570606631401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 16570606631401 in words is "sixteen trillion, five hundred seventy billion, six hundred six million, six hundred thirty-one thousand, four hundred one".

Divisors: 1 17 23 29 289 359 391 493 529 667 841 6103 6647 8257 8381 8993 10411 11339 14297 15341 19343 103751 128881 140369 152881 176987 189911 192763 239453 243049 260797 301919 328831 444889 2190977 2386273 2964263 3008779 3228487 3737549 4070701 4433549 5132623 5507419 5590127 6944137 7563113 37246609 50392471 54884279 63538333 68178049 69201917 85963627 87254591 93626123 108388921 118050329 128572921 159715151 856672007 1080151661 1159026833 1461381659 1591644091 1842611657 1977163421 2006855593 2492945183 2715157567 19703456161 24843488203 31324398169 33611778157 42380068111 46157678639 57337739209 571400228669 720461157887 974741566553 16570606631401