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55125665556 = 223133118776073
BaseRepresentation
bin110011010101101111…
…101110011100010100
312021021210122221220220
4303111233232130110
51400344132244211
641154022154340
73661031266053
oct632557563424
9167253587826
1055125665556
1121419001495
12a8255829b0
13527695a220
14294d38439a
151679870806
hexcd5bee714

55125665556 has 96 divisors (see below), whose sum is σ = 143089056768. Its totient is φ = 16403143680.

The previous prime is 55125665537. The next prime is 55125665563. The reversal of 55125665556 is 65556652155.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 55125665499 and 55125665508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9074136 + ... + 9080208.

It is an arithmetic number, because the mean of its divisors is an integer number (1490511008).

Almost surely, 255125665556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55125665556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71544528384).

55125665556 is an abundant number, since it is smaller than the sum of its proper divisors (87963391212).

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

55125665556 is a wasteful number, since it uses less digits than its factorization.

55125665556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7999 counting only the distinct ones).

The product of its digits is 6750000, while the sum is 51.

The spelling of 55125665556 in words is "fifty-five billion, one hundred twenty-five million, six hundred sixty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 1877 2418 3754 4836 5631 6073 7508 11262 12146 18219 22524 24292 24401 36438 48802 58187 72876 73203 78949 97604 116374 146406 157898 174561 188263 232748 236847 292812 315796 349122 376526 473694 564789 698244 753052 756431 947388 1129578 1512862 2259156 2269293 2447419 3025724 4538586 4894838 7342257 9077172 9789676 11399021 14684514 22798042 29369028 34197063 45596084 68394126 136788252 148187273 296374546 353369651 444561819 592749092 706739302 889123638 1060108953 1413478604 1778247276 2120217906 4240435812 4593805463 9187610926 13781416389 18375221852 27562832778 55125665556