Search a number
-
+
1161323595957 = 372361791074663
BaseRepresentation
bin10000111001100100010…
…001111100100010110101
311010000120122020012210110
4100321210101330202311
5123011342320032312
62245301003013233
7146621452456410
oct20714421744265
94100518205713
101161323595957
11408572992308
121690a4b0a219
1385687812525
14402cba60b77
152031e50543c
hex10e6447c8b5

1161323595957 has 128 divisors (see below), whose sum is σ = 1918780047360. Its totient is φ = 610559389440.

The previous prime is 1161323595947. The next prime is 1161323595959. The reversal of 1161323595957 is 7595953231611.

It is not a de Polignac number, because 1161323595957 - 26 = 1161323595893 is a prime.

It is a super-4 number, since 4×11613235959574 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 1161323595897 and 1161323595906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161323595959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249048408 + ... + 249053070.

It is an arithmetic number, because the mean of its divisors is an integer number (14990469120).

Almost surely, 21161323595957 is an apocalyptic number.

It is an amenable number.

1161323595957 is a deficient number, since it is larger than the sum of its proper divisors (757456451403).

1161323595957 is a wasteful number, since it uses less digits than its factorization.

1161323595957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943.

The product of its digits is 7654500, while the sum is 57.

The spelling of 1161323595957 in words is "one trillion, one hundred sixty-one billion, three hundred twenty-three million, five hundred ninety-five thousand, nine hundred fifty-seven".

Divisors: 1 3 7 21 23 61 69 79 107 161 183 237 321 427 483 553 749 1281 1403 1659 1817 2247 2461 4209 4663 4819 5451 6527 7383 8453 9821 12719 13989 14457 17227 19581 25359 29463 32641 33733 38157 45689 51681 59171 97923 101199 107249 110837 137067 150121 177513 194419 284443 321747 332511 368377 450363 498941 515633 583257 750743 775859 853329 1050847 1105131 1360933 1496823 1546899 1991101 2252229 2327577 2578639 3152541 3492587 3609431 4082799 5973303 6542189 7735917 8472671 10477761 10828293 11475643 11859559 19626567 22470997 25418013 30435401 34426929 35578677 39416339 45795323 59308697 67412991 80329501 83016913 91306203 118249017 137385969 157296979 177926091 213047807 240988503 249050739 275914373 471890937 516832931 639143421 700014223 827743119 906575797 1550498793 2100042669 2404396679 2719727391 3617830517 4900099561 6346030579 7213190037 10853491551 14700298683 16830776753 19038091737 50492330259 55301123617 165903370851 387107865319 1161323595957