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55459978704 = 243213157188701
BaseRepresentation
bin110011101001101011…
…000001110111010000
312022011002201211100100
4303221223001313100
51402040223304304
641251123452400
74002231020004
oct635153016720
9168132654310
1055459978704
112157a791949
12a8b9527100
1352cacb0260
14298192a704
151698dab439
hexce9ac1dd0

55459978704 has 120 divisors (see below), whose sum is σ = 168215756072. Its totient is φ = 16955827200.

The previous prime is 55459978697. The next prime is 55459978723. The reversal of 55459978704 is 40787995455.

55459978704 is a `hidden beast` number, since 5 + 545 + 9 + 9 + 7 + 87 + 0 + 4 = 666.

55459978704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4429168704 + 51030810000 = 66552^2 + 225900^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199554 + ... + 388254.

Almost surely, 255459978704 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 55459978704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84107878036).

55459978704 is an abundant number, since it is smaller than the sum of its proper divisors (112755777368).

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

55459978704 is a wasteful number, since it uses less digits than its factorization.

55459978704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188885 (or 188876 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 55459978704 in words is "fifty-five billion, four hundred fifty-nine million, nine hundred seventy-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 157 208 234 312 314 468 471 624 628 936 942 1256 1413 1872 1884 2041 2512 2826 3768 4082 5652 6123 7536 8164 11304 12246 16328 18369 22608 24492 32656 36738 48984 73476 97968 146952 188701 293904 377402 566103 754804 1132206 1509608 1698309 2264412 2453113 3019216 3396618 4528824 4906226 6793236 7359339 9057648 9812452 13586472 14718678 19624904 22078017 27172944 29437356 29626057 39249808 44156034 58874712 59252114 88312068 88878171 117749424 118504228 176624136 177756342 237008456 266634513 353248272 355512684 385138741 474016912 533269026 711025368 770277482 1066538052 1155416223 1422050736 1540554964 2133076104 2310832446 3081109928 3466248669 4266152208 4621664892 6162219856 6932497338 9243329784 13864994676 18486659568 27729989352 55459978704