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65738448216 = 23327218633347
BaseRepresentation
bin111101001110010100…
…010001110101011000
320021200102111011211100
4331032110101311120
52034113020320331
650111055031400
74515026406300
oct751624216530
9207612434740
1065738448216
1125974705151
12108a780b560
13627859a58c
143278a5a600
151a9b423ae6
hexf4e511d58

65738448216 has 72 divisors (see below), whose sum is σ = 207109663020. Its totient is φ = 18782412768.

The previous prime is 65738448173. The next prime is 65738448241. The reversal of 65738448216 is 61284483756.

It is a happy number.

65738448216 is a `hidden beast` number, since 6 + 5 + 7 + 384 + 48 + 216 = 666.

65738448216 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9313146 + ... + 9320201.

Almost surely, 265738448216 is an apocalyptic number.

It is an amenable number.

65738448216 is an abundant number, since it is smaller than the sum of its proper divisors (141371214804).

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

65738448216 is a wasteful number, since it uses less digits than its factorization.

65738448216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18633373 (or 18633359 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

It can be divided in two parts, 657384 and 48216, that added together give a square (705600 = 8402).

The spelling of 65738448216 in words is "sixty-five billion, seven hundred thirty-eight million, four hundred forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 18633347 37266694 55900041 74533388 111800082 130433429 149066776 167700123 223600164 260866858 335400246 391300287 447200328 521733716 670800492 782600574 913034003 1043467432 1173900861 1341600984 1565201148 1826068006 2347801722 2739102009 3130402296 3652136012 4695603444 5478204018 7304272024 8217306027 9391206888 10956408036 16434612054 21912816072 32869224108 65738448216