Search a number
-
+
54062240166 = 23211793539791
BaseRepresentation
bin110010010110010111…
…000101000110100110
312011112200122100112100
4302112113011012212
51341204413141131
640500313232530
73622466313354
oct622627050646
9164480570470
1054062240166
1120a227a8230
12a589402746
135137543c2c
14288c0467d4
1516163117e6
hexc965c51a6

54062240166 has 96 divisors (see below), whose sum is σ = 129780817920. Its totient is φ = 16127654400.

The previous prime is 54062240147. The next prime is 54062240201. The reversal of 54062240166 is 66104226045.

54062240166 is a `hidden beast` number, since 5 + 406 + 2 + 240 + 1 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54062240166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5516731 + ... + 5526521.

It is an arithmetic number, because the mean of its divisors is an integer number (1351883520).

Almost surely, 254062240166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54062240166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64890408960).

54062240166 is an abundant number, since it is smaller than the sum of its proper divisors (75718577754).

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

54062240166 is a wasteful number, since it uses less digits than its factorization.

54062240166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 54062240166 in words is "fifty-four billion, sixty-two million, two hundred forty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 353 474 706 711 869 1059 1422 1738 2118 2607 3177 3883 5214 6354 7766 7821 9791 11649 15642 19582 23298 27887 29373 34947 55774 58746 69894 83661 88119 107701 167322 176238 215402 250983 306757 323103 501966 613514 646206 773489 920271 969309 1546978 1840542 1938618 2320467 2760813 3456223 4640934 5521626 6912446 6961401 8508379 10368669 13922802 17016758 20737338 25525137 31106007 38018453 51050274 62212014 76036906 76575411 114055359 153150822 228110718 273041617 342166077 546083234 684332154 819124851 1638249702 2457374553 3003457787 4914749106 6006915574 9010373361 18020746722 27031120083 54062240166