Search a number
-
+
54159958888 = 237193113911813
BaseRepresentation
bin110010011100001011…
…110110001101101000
312011210111111222102021
4302130023312031220
51341404422141023
640514123514224
73625064024530
oct623413661550
9164714458367
1054159958888
1120a72980802
12a5b6088974
135151869269
14289b0024c0
15161ebb535d
hexc9c2f6368

54159958888 has 128 divisors (see below), whose sum is σ = 127024128000. Its totient is φ = 21125525760.

The previous prime is 54159958873. The next prime is 54159958889. The reversal of 54159958888 is 88885995145.

54159958888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541599588882 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54159958889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4578870 + ... + 4590682.

It is an arithmetic number, because the mean of its divisors is an integer number (992376000).

Almost surely, 254159958888 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 54159958888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63512064000).

54159958888 is an abundant number, since it is smaller than the sum of its proper divisors (72864169112).

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

54159958888 is a wasteful number, since it uses less digits than its factorization.

54159958888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12015 (or 12011 counting only the distinct ones).

The product of its digits is 165888000, while the sum is 70.

The spelling of 54159958888 in words is "fifty-four billion, one hundred fifty-nine million, nine hundred fifty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 139 152 217 248 266 278 434 532 556 589 868 973 1064 1112 1178 1736 1946 2356 2641 3892 4123 4309 4712 5282 7784 8246 8618 10564 11813 16492 17236 18487 21128 23626 30163 32984 34472 36974 47252 60326 73948 81871 82691 94504 120652 147896 163742 165382 224447 241304 327484 330764 366203 448894 573097 654968 661528 732406 897788 1146194 1464812 1571129 1642007 1795576 2292388 2563421 2929624 3142258 3284014 4584776 5126842 6284516 6568028 6957857 10253684 11494049 12569032 13136056 13915714 20507368 22988098 27831428 31198133 45976196 48704999 50902217 55662856 62396266 91952392 97409998 101804434 124792532 194819996 203608868 218386931 249585064 356315519 389639992 407217736 436773862 712631038 873547724 967142123 1425262076 1747095448 1934284246 2850524152 3868568492 6769994861 7737136984 13539989722 27079979444 54159958888