Search a number
-
+
542347975081368 = 233230724536191417
BaseRepresentation
bin111101101010000110011101…
…0011001100011110110011000
32122010021221220212212011220200
41323110030322121203312120
51032041312123110100433
65201251115320422200
7222144230261100051
oct17324147231436630
92563257825764820
10542347975081368
11147899536a506a5
12509b2807617960
131a38126b700911
1497cdad3d53728
1542a7aae9b5613
hex1ed433a663d98

542347975081368 has 48 divisors (see below), whose sum is σ = 1473643656565080. Its totient is φ = 180193789759104.

The previous prime is 542347975081333. The next prime is 542347975081369. The reversal of 542347975081368 is 863180579743245.

542347975081368 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 47 + 9 + 7 + 508 + 13 + 68 = 666.

It is a super-5 number, since 5×5423479750813685 (a number of 75 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 542347975081296 and 542347975081305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542347975081369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12268073605 + ... + 12268117812.

It is a 2-persistent number, because it is pandigital, and so is 2⋅542347975081368 = 1084695950162736, but 3⋅542347975081368 = 1627043925244104 is not.

Almost surely, 2542347975081368 is an apocalyptic number.

It is an amenable number.

542347975081368 is an abundant number, since it is smaller than the sum of its proper divisors (931295681483712).

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

542347975081368 is a wasteful number, since it uses less digits than its factorization.

542347975081368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24536191736 (or 24536191729 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 542347975081368 in words is "five hundred forty-two trillion, three hundred forty-seven billion, nine hundred seventy-five million, eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 307 614 921 1228 1842 2456 2763 3684 5526 7368 11052 22104 24536191417 49072382834 73608574251 98144765668 147217148502 196289531336 220825722753 294434297004 441651445506 588868594008 883302891012 1766605782024 7532610765019 15065221530038 22597832295057 30130443060076 45195664590114 60260886120152 67793496885171 90391329180228 135586993770342 180782658360456 271173987540684 542347975081368