Search a number
-
+
53216521516416 = 273187877376627
BaseRepresentation
bin11000001100110011011111…
…10111000111010110000000
320222102110010212212012220210
430012121233313013112000
523433344414002011131
6305103155452234120
714131524004252446
oct1406315767072600
9228373125765823
1053216521516416
1115a58000053865
125b7587546b940
1323903b13a4a5b
14d1d99c90ab96
1562443ced7146
hex30666fdc7580

53216521516416 has 64 divisors (see below), whose sum is σ = 141363928601280. Its totient is φ = 17737893892608.

The previous prime is 53216521516393. The next prime is 53216521516429. The reversal of 53216521516416 is 61461512561235.

53216521516416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 3525895 + ... + 10902521.

It is an arithmetic number, because the mean of its divisors is an integer number (2208811384395).

Almost surely, 253216521516416 is an apocalyptic number.

It is an amenable number.

53216521516416 is an abundant number, since it is smaller than the sum of its proper divisors (88147407084864).

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

53216521516416 is a wasteful number, since it uses less digits than its factorization.

53216521516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395431 (or 7395419 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The spelling of 53216521516416 in words is "fifty-three trillion, two hundred sixteen billion, five hundred twenty-one million, five hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 18787 37574 56361 75148 112722 150296 225444 300592 450888 601184 901776 1202368 1803552 2404736 3607104 7214208 7376627 14753254 22129881 29506508 44259762 59013016 88519524 118026032 177039048 236052064 354078096 472104128 708156192 944208256 1416312384 2832624768 138584691449 277169382898 415754074347 554338765796 831508148694 1108677531592 1663016297388 2217355063184 3326032594776 4434710126368 6652065189552 8869420252736 13304130379104 17738840505472 26608260758208 53216521516416