Search a number
-
+
61534122143516 = 221121933671794929
BaseRepresentation
bin11011111110111000001110…
…11111011110111100011100
322001212121022202212010220222
431333130013133132330130
531031133340232043031
6334512215132100512
715650456624126111
oct1577340737367434
9261777282763828
1061534122143516
1118674524838a00
126a99885004738
132844848376059
14112a3a5a78908
1571a99c8c6e7b
hex37f7077def1c

61534122143516 has 72 divisors (see below), whose sum is σ = 119301731223360. Its totient is φ = 27749299691520.

The previous prime is 61534122143471. The next prime is 61534122143531.

61534122143516 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×615341221435162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33384740 + ... + 35179668.

Almost surely, 261534122143516 is an apocalyptic number.

It is an amenable number.

61534122143516 is a deficient number, since it is larger than the sum of its proper divisors (57767609079844).

61534122143516 is a wasteful number, since it uses less digits than its factorization.

61534122143516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795515 (or 1795502 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

It can be divided in two parts, 6153412 and 2143516, that added together give a palindrome (8296928).

The spelling of 61534122143516 in words is "sixty-one trillion, five hundred thirty-four billion, one hundred twenty-two million, one hundred forty-three thousand, five hundred sixteen".

Divisors: 1 2 4 11 22 44 121 193 242 367 386 484 734 772 1468 2123 4037 4246 8074 8492 16148 23353 44407 46706 70831 88814 93412 141662 177628 283324 779141 1558282 1794929 3116564 3589858 7179716 8570551 17141102 19744219 34282204 39488438 78976876 217186409 346421297 434372818 658738943 692842594 868745636 1317477886 1385685188 2634955772 3810634267 7246128373 7621268534 14492256746 15242537068 28984513492 41916976937 79707412103 83833953874 127136615999 159414824206 167667907748 254273231998 318829648412 508546463996 1398502775989 2797005551978 5594011103956 15383530535879 30767061071758 61534122143516