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13946539568352 = 253850117089337
BaseRepresentation
bin1100101011110010111010…
…0010010110110011100000
31211101021110022200122022120
43022330232202112303200
53312000003112141402
645354541332304240
72636414152234566
oct312745642266340
954337408618276
1013946539568352
114497770001076
121692b23a72080
137a21cb2bcb41
1436303231da36
15192bac8653bc
hexcaf2e896ce0

13946539568352 has 48 divisors (see below), whose sum is σ = 36613975022352. Its totient is φ = 4648299392000.

The previous prime is 13946539568329. The next prime is 13946539568387. The reversal of 13946539568352 is 25386593564931.

13946539568352 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7728573 + ... + 9360764.

It is an arithmetic number, because the mean of its divisors is an integer number (762791146299).

Almost surely, 213946539568352 is an apocalyptic number.

13946539568352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13946539568352 is an abundant number, since it is smaller than the sum of its proper divisors (22667435454000).

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

13946539568352 is a wasteful number, since it uses less digits than its factorization.

13946539568352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17097851 (or 17097843 counting only the distinct ones).

The product of its digits is 629856000, while the sum is 69.

The spelling of 13946539568352 in words is "thirteen trillion, nine hundred forty-six billion, five hundred thirty-nine million, five hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8501 17002 25503 34004 51006 68008 102012 136016 204024 272032 408048 816096 17089337 34178674 51268011 68357348 102536022 136714696 205072044 273429392 410144088 546858784 820288176 1640576352 145276453837 290552907674 435829361511 581105815348 871658723022 1162211630696 1743317446044 2324423261392 3486634892088 4648846522784 6973269784176 13946539568352