Search a number
-
+
53760408216 = 23356917872203
BaseRepresentation
bin110010000100010111…
…101011101010011000
312010202122200200221020
4302010113223222120
51340100131030331
640410332042440
73612142634004
oct620427535230
9163678620836
1053760408216
1120888392439
12a504303420
1350b9b54348
14285dd17704
1515e9a8ec96
hexc845eba98

53760408216 has 64 divisors (see below), whose sum is σ = 134773718400. Its totient is φ = 17870515968.

The previous prime is 53760408209. The next prime is 53760408217. The reversal of 53760408216 is 61280406735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53760408217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24402171 + ... + 24404373.

It is an arithmetic number, because the mean of its divisors is an integer number (2105839350).

Almost surely, 253760408216 is an apocalyptic number.

It is an amenable number.

53760408216 is an abundant number, since it is smaller than the sum of its proper divisors (81013310184).

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

53760408216 is a wasteful number, since it uses less digits than its factorization.

53760408216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 53760408216 in words is "fifty-three billion, seven hundred sixty million, four hundred eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 569 1138 1707 1787 2203 2276 3414 3574 4406 4552 5361 6609 6828 7148 8812 10722 13218 13656 14296 17624 21444 26436 42888 52872 1016803 1253507 2033606 2507014 3050409 3760521 3936761 4067212 5014028 6100818 7521042 7873522 8134424 10028056 11810283 12201636 15042084 15747044 23620566 24403272 30084168 31494088 47241132 94482264 2240017009 4480034018 6720051027 8960068036 13440102054 17920136072 26880204108 53760408216