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53384029344 = 253361787071
BaseRepresentation
bin110001101101111011…
…111010010010100000
312002210102110200012000
4301231323322102200
51333312302414334
640305125004000
73566622522342
oct615573722240
9162712420160
1053384029344
1120704990418
12a41a253600
135059b93459
142825d41292
1515c69e5299
hexc6defa4a0

53384029344 has 48 divisors (see below), whose sum is σ = 155703421440. Its totient is φ = 17794676160.

The previous prime is 53384029343. The next prime is 53384029381. The reversal of 53384029344 is 44392048335.

53384029344 is a `hidden beast` number, since 533 + 84 + 0 + 2 + 9 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×533840293444 (a number of 44 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53384029344.

It is not an unprimeable number, because it can be changed into a prime (53384029343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30892672 + ... + 30894399.

It is an arithmetic number, because the mean of its divisors is an integer number (3243821280).

Almost surely, 253384029344 is an apocalyptic number.

53384029344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

53384029344 is an abundant number, since it is smaller than the sum of its proper divisors (102319392096).

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

53384029344 is a wasteful number, since it uses less digits than its factorization.

53384029344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61787090 (or 61787076 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 53384029344 in words is "fifty-three billion, three hundred eighty-four million, twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 61787071 123574142 185361213 247148284 370722426 494296568 556083639 741444852 988593136 1112167278 1482889704 1668250917 1977186272 2224334556 2965779408 3336501834 4448669112 5931558816 6673003668 8897338224 13346007336 17794676448 26692014672 53384029344