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65643216480 = 253455065063
BaseRepresentation
bin111101001000101000…
…111111111001100000
320021102210021220110000
4331020220333321200
52033414130411410
650053413540000
74512462063612
oct751050777140
9207383256400
1065643216480
1125925980136
121087b944600
13626193623a
14326a14adb2
151a92db1dc0
hexf48a3fe60

65643216480 has 120 divisors (see below), whose sum is σ = 231665897232. Its totient is φ = 17504854272.

The previous prime is 65643216473. The next prime is 65643216487. The reversal of 65643216480 is 8461234656.

65643216480 is a `hidden beast` number, since 6 + 56 + 432 + 164 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65643216473) and next prime (65643216487).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65643216487) 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 19 ways as a sum of consecutive naturals, for example, 2519572 + ... + 2545491.

Almost surely, 265643216480 is an apocalyptic number.

65643216480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65643216480 is an abundant number, since it is smaller than the sum of its proper divisors (166022680752).

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

65643216480 is a wasteful number, since it uses less digits than its factorization.

65643216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065090 (or 5065073 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 65643216480 in words is "sixty-five billion, six hundred forty-three million, two hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 5065063 10130126 15195189 20260252 25325315 30390378 40520504 45585567 50650630 60780756 75975945 81041008 91171134 101301260 121561512 136756701 151951890 162082016 182342268 202602520 227927835 243123024 273513402 303903780 364684536 405205040 410270103 455855670 486246048 547026804 607807560 683783505 729369072 810410080 820540206 911711340 1094053608 1215615120 1367567010 1458738144 1641080412 1823422680 2051350515 2188107216 2431230240 2735134020 3282160824 3646845360 4102701030 4376214432 5470268040 6564321648 7293690720 8205402060 10940536080 13128643296 16410804120 21881072160 32821608240 65643216480