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556137412654164 = 223112596491775373
BaseRepresentation
bin111111001110011011101010…
…0111011010111010001010100
32200221010012212111102112222020
41332130313110323113101110
51040343223410114413124
65250450000024133140
7225066413346401205
oct17634672473272124
92627105774375866
10556137412654164
11151225608a75200
125245b1a63071b0
131ab416c0c76473
149b492a15b55ac
154446624ed6379
hex1f9cdd4ed7454

556137412654164 has 72 divisors (see below), whose sum is σ = 1450522289566560. Its totient is φ = 165670107493440.

The previous prime is 556137412654157. The next prime is 556137412654183. The reversal of 556137412654164 is 461456214731655.

It is a junction number, because it is equal to n+sod(n) for n = 556137412654098 and 556137412654107.

It is a congruent number.

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, 3245802019 + ... + 3245973354.

Almost surely, 2556137412654164 is an apocalyptic number.

It is an amenable number.

556137412654164 is an abundant number, since it is smaller than the sum of its proper divisors (894384876912396).

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

556137412654164 is a wasteful number, since it uses less digits than its factorization.

556137412654164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491775461 (or 6491775448 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 60.

The spelling of 556137412654164 in words is "five hundred fifty-six trillion, one hundred thirty-seven billion, four hundred twelve million, six hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 121 132 177 236 242 354 363 484 649 708 726 1298 1452 1947 2596 3894 7139 7788 14278 21417 28556 42834 85668 6491775373 12983550746 19475326119 25967101492 38950652238 71409529103 77901304476 142819058206 214228587309 285638116412 383014747007 428457174618 766029494014 785504820133 856914349236 1149044241021 1532058988028 1571009640266 2298088482042 2356514460399 3142019280532 4213162217077 4596176964084 4713028920798 8426324434154 9426057841596 12639486651231 16852648868308 25278973302462 46344784387847 50557946604924 92689568775694 139034353163541 185379137551388 278068706327082 556137412654164