Search a number
-
+
54142906815 = 3357312314463
BaseRepresentation
bin110010011011001010…
…110011000110111111
312011202022102122101000
4302123022303012333
51341341041004230
640512314221343
73624466054164
oct623312630677
9164668378330
1054142906815
1120a64294288
12a5b0424853
13514b17888a
142898a4406b
15161d447b60
hexc9b2b31bf

54142906815 has 64 divisors (see below), whose sum is σ = 97673748480. Its totient is φ = 28451139840.

The previous prime is 54142906813. The next prime is 54142906819. The reversal of 54142906815 is 51860924145.

54142906815 is a `hidden beast` number, since 541 + 4 + 2 + 90 + 6 + 8 + 15 = 666.

It is not a de Polignac number, because 54142906815 - 21 = 54142906813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54142906813) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12129274 + ... + 12133736.

It is an arithmetic number, because the mean of its divisors is an integer number (1526152320).

Almost surely, 254142906815 is an apocalyptic number.

54142906815 is a deficient number, since it is larger than the sum of its proper divisors (43530841665).

54142906815 is a wasteful number, since it uses less digits than its factorization.

54142906815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 54142906815 in words is "fifty-four billion, one hundred forty-two million, nine hundred six thousand, eight hundred fifteen".

Divisors: 1 3 5 9 15 27 45 73 135 219 365 657 1095 1231 1971 3285 3693 4463 6155 9855 11079 13389 18465 22315 33237 40167 55395 66945 89863 120501 166185 200835 269589 325799 449315 602505 808767 977397 1347945 1628995 2426301 2932191 4043835 4886985 5493953 8796573 12131505 14660955 16481859 27469765 43982865 49445577 82409295 148336731 247227885 401058569 741683655 1203175707 2005292845 3609527121 6015878535 10828581363 18047635605 54142906815