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328645603486560 = 25353975911722067
BaseRepresentation
bin100101010111001101100010…
…0011100111110101101100000
31121002122012202011122200212010
41022232123010130332231200
5321034012143443032220
63122545412253432520
7126136601265564453
oct11256330434765540
91532565664580763
10328645603486560
11957978aa438758
1230a3987779b740
131114c1bbb97b79
145b2276405949a
1527edc5ddc21e0
hex12ae6c473eb60

328645603486560 has 96 divisors (see below), whose sum is σ = 1035236855907072. Its totient is φ = 87638556280320.

The previous prime is 328645603486549. The next prime is 328645603486567. The reversal of 328645603486560 is 65684306546823.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 328645603486491 and 328645603486500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328645603486567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189982647 + ... + 191704713.

It is an arithmetic number, because the mean of its divisors is an integer number (10783717249032).

Almost surely, 2328645603486560 is an apocalyptic number.

328645603486560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328645603486560 is an abundant number, since it is smaller than the sum of its proper divisors (706591252420512).

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

328645603486560 is a wasteful number, since it uses less digits than its factorization.

328645603486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119676 (or 2119668 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 66.

The spelling of 328645603486560 in words is "three hundred twenty-eight trillion, six hundred forty-five billion, six hundred three million, four hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 397591 795182 1192773 1590364 1722067 1987955 2385546 3180728 3444134 3975910 4771092 5166201 5963865 6361456 6888268 7951820 8610335 9542184 10332402 11927730 12722912 13776536 15903640 17220670 19084368 20664804 23855460 25831005 27553072 31807280 34441340 38168736 41329608 47710920 51662010 55106144 63614560 68882680 82659216 95421840 103324020 137765360 165318432 190843680 206648040 275530720 413296080 826592160 684678340597 1369356681194 2054035021791 2738713362388 3423391702985 4108070043582 5477426724776 6846783405970 8216140087164 10270175108955 10954853449552 13693566811940 16432280174328 20540350217910 21909706899104 27387133623880 32864560348656 41080700435820 54774267247760 65729120697312 82161400871640 109548534495520 164322801743280 328645603486560