Search a number
-
+
55750130370 = 232511181311123
BaseRepresentation
bin110011111010111101…
…110111101011000010
312022220022201001121100
4303322331313223002
51403134013132440
641340010435230
74012353201144
oct637275675302
9168808631540
1055750130370
112170954a110
12a97a732b16
13534614052c
1429ac298c94
1516b45c2230
hexcfaf77ac2

55750130370 has 96 divisors (see below), whose sum is σ = 159001786944. Its totient is φ = 13440470400.

The previous prime is 55750130369. The next prime is 55750130383. The reversal of 55750130370 is 7303105755.

It is a happy number.

55750130370 is a `hidden beast` number, since 5 + 57 + 501 + 30 + 3 + 70 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23629 + ... + 334751.

It is an arithmetic number, because the mean of its divisors is an integer number (1656268614).

Almost surely, 255750130370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55750130370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79500893472).

55750130370 is an abundant number, since it is smaller than the sum of its proper divisors (103251656574).

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

55750130370 is a wasteful number, since it uses less digits than its factorization.

55750130370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311328 (or 311325 counting only the distinct ones).

The product of its (nonzero) digits is 55125, while the sum is 36.

The spelling of 55750130370 in words is "fifty-five billion, seven hundred fifty million, one hundred thirty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 181 198 330 362 495 543 905 990 1086 1629 1810 1991 2715 3258 3982 5430 5973 8145 9955 11946 16290 17919 19910 29865 35838 59730 89595 179190 311123 622246 933369 1555615 1866738 2800107 3111230 3422353 4666845 5600214 6844706 9333690 10267059 14000535 17111765 20534118 28001070 30801177 34223530 51335295 56313263 61602354 102670590 112626526 154005885 168939789 281566315 308011770 337879578 506819367 563132630 619445893 844698945 1013638734 1238891786 1689397890 1858337679 2534096835 3097229465 3716675358 5068193670 5575013037 6194458930 9291688395 11150026074 18583376790 27875065185 55750130370