Search a number
-
+
542032353016 = 237111794915769
BaseRepresentation
bin1111110001100111010…
…01010101011011111000
31220211002011111110221221
413320303221111123320
532340040240244031
61053001202241424
754106031660530
oct7706351253370
91824064443857
10542032353016
11199969150430
1289071656274
133c16229468b
141c33d6ac4c0
15e175c6da11
hex7e33a556f8

542032353016 has 64 divisors (see below), whose sum is σ = 1274167584000. Its totient is φ = 210001608960.

The previous prime is 542032353007. The next prime is 542032353041. The reversal of 542032353016 is 610353230245.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2347621 + ... + 2568148.

It is an arithmetic number, because the mean of its divisors is an integer number (19908868500).

Almost surely, 2542032353016 is an apocalyptic number.

542032353016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

542032353016 is an abundant number, since it is smaller than the sum of its proper divisors (732135230984).

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

542032353016 is a wasteful number, since it uses less digits than its factorization.

542032353016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915972 (or 4915968 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 542032353016 in words is "five hundred forty-two billion, thirty-two million, three hundred fifty-three thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 179 308 358 616 716 1253 1432 1969 2506 3938 5012 7876 10024 13783 15752 27566 55132 110264 4915769 9831538 19663076 34410383 39326152 54073459 68820766 108146918 137641532 216293836 275283064 378514213 432587672 757028426 879922651 1514056852 1759845302 3028113704 3519690604 6159458557 7039381208 9679149161 12318917114 19358298322 24637834228 38716596644 49275668456 67754044127 77433193288 135508088254 271016176508 542032353016