Search a number
-
+
55374545728 = 263747647769
BaseRepresentation
bin110011100100100101…
…001000001101000000
312021221010222101100001
4303210211020031000
51401401340430403
641234432405344
74000142605165
oct634445101500
9167833871301
1055374545728
112153653a887
12a8949a6854
1352b6399cb8
14297444c06c
151691632c1d
hexce4948340

55374545728 has 112 divisors (see below), whose sum is σ = 115583086080. Its totient is φ = 26290814976.

The previous prime is 55374545627. The next prime is 55374545749. The reversal of 55374545728 is 82754547355.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72008128 + ... + 72008896.

It is an arithmetic number, because the mean of its divisors is an integer number (1031991840).

Almost surely, 255374545728 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 55374545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57791543040).

55374545728 is an abundant number, since it is smaller than the sum of its proper divisors (60208540352).

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

55374545728 is a wasteful number, since it uses less digits than its factorization.

55374545728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1502 counting only the distinct ones).

The product of its digits is 23520000, while the sum is 55.

The spelling of 55374545728 in words is "fifty-five billion, three hundred seventy-four million, five hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 47 64 74 94 148 188 296 376 592 647 752 769 1184 1294 1504 1538 1739 2368 2588 3008 3076 3478 5176 6152 6956 10352 12304 13912 20704 23939 24608 27824 28453 30409 36143 41408 47878 49216 55648 56906 60818 72286 95756 111296 113812 121636 144572 191512 227624 243272 289144 383024 455248 486544 497543 578288 766048 910496 973088 995086 1125133 1156576 1337291 1532096 1820992 1946176 1990172 2250266 2313152 2674582 3980344 4500532 5349164 7960688 9001064 10698328 15921376 18002128 18409091 21396656 23384521 31842752 36004256 36818182 42793312 46769042 72008512 73636364 85586624 93538084 147272728 187076168 294545456 374152336 589090912 748304672 865227277 1178181824 1496609344 1730454554 3460909108 6921818216 13843636432 27687272864 55374545728