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2064467744325 = 325274382337039
BaseRepresentation
bin11110000010101011110…
…111011101011001000101
321022100202022021120202100
4132002223313131121011
5232311012220304300
64220223044302313
7302103302201310
oct36025367353105
97270668246670
102064467744325
11726599248328
122941360a1999
1311c8a87b344c
1471cc6853977
1538a7ca9b700
hex1e0abddd645

2064467744325 has 144 divisors (see below), whose sum is σ = 4329581301760. Its totient is φ = 920663936640.

The previous prime is 2064467744291. The next prime is 2064467744369. The reversal of 2064467744325 is 5234477644602.

2064467744325 is a `hidden beast` number, since 20 + 64 + 4 + 67 + 74 + 432 + 5 = 666.

It is not a de Polignac number, because 2064467744325 - 219 = 2064467220037 is a prime.

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 143 ways as a sum of consecutive naturals, for example, 55719156 + ... + 55756194.

Almost surely, 22064467744325 is an apocalyptic number.

2064467744325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2064467744325 is an abundant number, since it is smaller than the sum of its proper divisors (2265113557435).

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

2064467744325 is a wasteful number, since it uses less digits than its factorization.

2064467744325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37928 (or 37920 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 54.

The spelling of 2064467744325 in words is "two trillion, sixty-four billion, four hundred sixty-seven million, seven hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 43 45 63 75 105 129 175 215 225 301 315 387 525 645 823 903 1075 1505 1575 1935 2469 2709 3225 4115 4515 5761 7407 7525 9675 12345 13545 17283 20575 22575 28805 35389 37035 37039 51849 61725 67725 86415 106167 111117 144025 176945 185175 185195 247723 259245 259273 318501 333351 432075 530835 555585 743169 777819 884725 925975 1238615 1296225 1296365 1592505 1592677 1666755 2229507 2333457 2654175 2777925 3715845 3889095 4778031 6193075 6481825 7962525 7963385 8333775 11147535 11148739 11667285 14334093 18579225 19445475 23890155 30483097 33446217 39816925 55737675 55743695 58336425 71670465 91449291 100338651 119450775 152415485 167231085 213381679 274347873 278718475 358352325 457246455 501693255 640145037 762077425 836155425 1066908395 1310773171 1371739365 1920435111 2286232275 2508466275 3200725185 3932319513 5334541975 6553865855 6858696825 9175412197 9602175555 11796958539 16003625925 19661597565 27526236591 32769329275 45877060985 48010877775 58984792695 82578709773 98307987825 137631182955 229385304925 294923963475 412893548865 688155914775 2064467744325