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325036416000480 = 25353531918298017
BaseRepresentation
bin100100111100111100111000…
…0000111010110000111100000
31120121212011210200122201100120
41021321321300013112013200
5320100344034444003410
63111143400152120240
7125315051252253552
oct11171716007260740
91517764720581316
10325036416000480
1194626196172188
123055629a096080
1310c49a58165092
145a39bbca214d2
152789e22e4c570
hex1279e701d61e0

325036416000480 has 96 divisors (see below), whose sum is σ = 1026765177538464. Its totient is φ = 86430835408896.

The previous prime is 325036416000479. The next prime is 325036416000529. The reversal of 325036416000480 is 84000614630523.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 958979569 + ... + 959318448.

It is an arithmetic number, because the mean of its divisors is an integer number (10695470599359).

Almost surely, 2325036416000480 is an apocalyptic number.

325036416000480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

325036416000480 is an abundant number, since it is smaller than the sum of its proper divisors (701728761537984).

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

325036416000480 is a wasteful number, since it uses less digits than its factorization.

325036416000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918298388 (or 1918298380 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 325036416000480 in words is "three hundred twenty-five trillion, thirty-six billion, four hundred sixteen million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 353 480 706 1059 1412 1765 2118 2824 3530 4236 5295 5648 7060 8472 10590 11296 14120 16944 21180 28240 33888 42360 56480 84720 169440 1918298017 3836596034 5754894051 7673192068 9591490085 11509788102 15346384136 19182980170 23019576204 28774470255 30692768272 38365960340 46039152408 57548940510 61385536544 76731920680 92078304816 115097881020 153463841360 184156609632 230195762040 306927682720 460391524080 677159200001 920783048160 1354318400002 2031477600003 2708636800004 3385796000005 4062955200006 5417273600008 6771592000010 8125910400012 10157388000015 10834547200016 13543184000020 16251820800024 20314776000030 21669094400032 27086368000040 32503641600048 40629552000060 54172736000080 65007283200096 81259104000120 108345472000160 162518208000240 325036416000480