Search a number
-
+
55723255328 = 2513192537001
BaseRepresentation
bin110011111001010111…
…010110011000100000
312022211110010122222102
4303321113112120200
51403110123132303
641333210425532
74011605566226
oct637127263040
9168743118872
1055723255328
11216a5363534
12a9717322a8
1353406c0a40
1429a88a0b16
1516b2064288
hexcf95d6620

55723255328 has 144 divisors (see below), whose sum is σ = 127060168536. Its totient is φ = 23901696000.

The previous prime is 55723255303. The next prime is 55723255369. The reversal of 55723255328 is 82355232755.

55723255328 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 42325655824 + 13397599504 = 205732^2 + 115748^2 .

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, 7955828 + ... + 7962828.

Almost surely, 255723255328 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 55723255328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63530084268).

55723255328 is an abundant number, since it is smaller than the sum of its proper divisors (71336913208).

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

55723255328 is a wasteful number, since it uses less digits than its factorization.

55723255328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7115 (or 7088 counting only the distinct ones).

The product of its digits is 2520000, while the sum is 47.

The spelling of 55723255328 in words is "fifty-five billion, seven hundred twenty-three million, two hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 53 76 104 106 152 208 212 247 304 361 416 424 494 608 689 722 848 988 1007 1378 1444 1696 1976 2014 2756 2888 3952 4028 4693 5512 5776 7001 7904 8056 9386 11024 11552 13091 14002 16112 18772 19133 22048 26182 28004 32224 37544 38266 52364 56008 75088 76532 91013 104728 112016 133019 150176 153064 182026 209456 224032 248729 266038 306128 364052 371053 418912 497458 532076 612256 728104 742106 994916 1064152 1456208 1484212 1729247 1989832 2128304 2527361 2912416 2968424 3458494 3979664 4256608 4823689 5054722 5936848 6916988 7050007 7959328 9647378 10109444 11873696 13833976 14100014 19294756 20218888 27667952 28200028 32855693 38589512 40437776 55335904 56400056 65711386 77179024 80875552 91650091 112800112 131422772 133950133 154358048 183300182 225600224 262845544 267900266 366600364 525691088 535800532 733200728 1051382176 1071601064 1466401456 1741351729 2143202128 2932802912 3482703458 4286404256 6965406916 13930813832 27861627664 55723255328