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161636993905 = 51729417732069
BaseRepresentation
bin1001011010001001010…
…0001100101101110001
3120110012202112001110211
42112202110030231301
510122013032301110
6202131025424121
714451341531122
oct2264224145561
9513182461424
10161636993905
1162605961992
12273aba9b041
131231c455b7a
147b750b8049
15431054798a
hex25a250cb71

161636993905 has 64 divisors (see below), whose sum is σ = 218024654400. Its totient is φ = 114436833280.

The previous prime is 161636993893. The next prime is 161636993923. The reversal of 161636993905 is 509399636161.

It can be written as a sum of positive squares in 32 ways, for example, as 158581557729 + 3055436176 = 398223^2 + 55276^2 .

It is not a de Polignac number, because 161636993905 - 215 = 161636961137 is a prime.

It is a super-2 number, since 2×1616369939052 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161636993905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78122211 + ... + 78124279.

It is an arithmetic number, because the mean of its divisors is an integer number (3406635225).

Almost surely, 2161636993905 is an apocalyptic number.

It is an amenable number.

161636993905 is a deficient number, since it is larger than the sum of its proper divisors (56387660495).

161636993905 is a wasteful number, since it uses less digits than its factorization.

161636993905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934.

The product of its (nonzero) digits is 7085880, while the sum is 58.

The spelling of 161636993905 in words is "one hundred sixty-one billion, six hundred thirty-six million, nine hundred ninety-three thousand, nine hundred five".

Divisors: 1 5 17 29 41 85 145 205 493 697 773 1189 2069 2465 3485 3865 5945 10345 13141 20213 22417 31693 35173 60001 65705 84829 101065 112085 158465 175865 300005 381089 424145 538781 919097 1020017 1442093 1599337 1905445 2460041 2693905 4595485 5100085 7210465 7996685 12300205 15624649 27188729 41820697 46380773 65572817 78123245 135943645 209103485 231903865 327864085 788473141 1114737889 1901611693 3942365705 5573689445 9508058465 32327398781 161636993905