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55845633204 = 22325945835737
BaseRepresentation
bin110100000000101010…
…001011110010110100
312100010222102002212100
4310000222023302310
51403332440230304
641353301422100
74014623023104
oct640052136264
9170128362770
1055845633204
1121758449879
12a9a670a930
13535cb6b09a
1429bac39204
1516bcb89439
hexd00a8bcb4

55845633204 has 72 divisors (see below), whose sum is σ = 143614336320. Its totient is φ = 18292516992.

The previous prime is 55845633203. The next prime is 55845633227. The reversal of 55845633204 is 40233654855.

55845633204 is a `hidden beast` number, since 5 + 5 + 8 + 4 + 5 + 633 + 2 + 0 + 4 = 666.

It is a super-4 number, since 4×558456332044 (a number of 44 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55845633204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55845633203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9731424 + ... + 9737160.

It is an arithmetic number, because the mean of its divisors is an integer number (1994643560).

Almost surely, 255845633204 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 55845633204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71807168160).

55845633204 is an abundant number, since it is smaller than the sum of its proper divisors (87768703116).

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

55845633204 is a wasteful number, since it uses less digits than its factorization.

55845633204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10384 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 55845633204 in words is "fifty-five billion, eight hundred forty-five million, six hundred thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 4583 5737 9166 11474 13749 17211 18332 22948 27498 34422 41247 51633 54996 68844 82494 103266 164988 206532 270397 338483 540794 676966 811191 1015449 1081588 1353932 1622382 2030898 2433573 3046347 3244764 4061796 4867146 6092694 9734292 12185388 26292671 52585342 78878013 105170684 157756026 236634039 315512052 473268078 946536156 1551267589 3102535178 4653802767 6205070356 9307605534 13961408301 18615211068 27922816602 55845633204