Search a number
-
+
169049137337964 = 2232133111652132433
BaseRepresentation
bin100110011011111111010001…
…110001111101011001101100
3211011112221101001002021101100
4212123333101301331121230
5134124200113124303324
61355312033535243100
750415253133423322
oct4633772161753154
9734487331067340
10169049137337964
1149956377a1a724
1216b62a32079490
13734335a9a1410
142da6044163d12
1514825517e04c9
hex99bfd1c7d66c

169049137337964 has 72 divisors (see below), whose sum is σ = 475034135069312. Its totient is φ = 50337212106240.

The previous prime is 169049137337917. The next prime is 169049137338017. The reversal of 169049137337964 is 469733731940961.

169049137337964 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 491 + 3 + 7 + 3 + 3 + 79 + 64 = 666.

It is a super-2 number, since 2×1690491373379642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 169049137337892 and 169049137337901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5826051709 + ... + 5826080724.

Almost surely, 2169049137337964 is an apocalyptic number.

It is an amenable number.

169049137337964 is an abundant number, since it is smaller than the sum of its proper divisors (305984997731348).

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

169049137337964 is a wasteful number, since it uses less digits than its factorization.

169049137337964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11652132487 (or 11652132482 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 72.

The spelling of 169049137337964 in words is "one hundred sixty-nine trillion, forty-nine billion, one hundred thirty-seven million, three hundred thirty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 14508 11652132433 23304264866 34956397299 46608529732 69912794598 104869191897 139825589196 151477721629 209738383794 302955443258 361216105423 419476767588 454433164887 605910886516 722432210846 908866329774 1083648316269 1363299494661 1444864421692 1817732659548 2167296632538 2726598989322 3250944948807 4334593265076 4695809370499 5453197978644 6501889897614 9391618740998 13003779795228 14087428111497 18783237481996 28174856222994 42262284334491 56349712445988 84524568668982 169049137337964