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4642654562464 = 251633498592969
BaseRepresentation
bin100001110001111001111…
…0001101010100010100000
3121102211111120122001001011
41003203303301222202200
51102031124031444324
613512450035350304
7656264210442112
oct103436361524240
917384446561034
104642654562464
11152aa36515286
1262b93b752394
13278a537733c9
141209c45573b2
1580b758bbc94
hex438f3c6a8a0

4642654562464 has 96 divisors (see below), whose sum is σ = 9236498040000. Its totient is φ = 2297023432704.

The previous prime is 4642654562461. The next prime is 4642654562477.

4642654562464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4642654562399 and 4642654562408.

It is not an unprimeable number, because it can be changed into a prime (4642654562461) 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 15 ways as a sum of consecutive naturals, for example, 1563708372 + ... + 1563711340.

It is an arithmetic number, because the mean of its divisors is an integer number (96213521250).

Almost surely, 24642654562464 is an apocalyptic number.

It is an amenable number.

4642654562464 is a deficient number, since it is larger than the sum of its proper divisors (4593843477536).

4642654562464 is a wasteful number, since it uses less digits than its factorization.

4642654562464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4342 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 58.

The spelling of 4642654562464 in words is "four trillion, six hundred forty-two billion, six hundred fifty-four million, five hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 163 326 349 652 698 859 1304 1396 1718 2608 2792 2969 3436 5216 5584 5938 6872 11168 11876 13744 23752 27488 47504 56887 95008 113774 140017 227548 280034 299791 455096 483947 560068 599582 910192 967894 1036181 1120136 1199164 1820384 1935788 2072362 2240272 2398328 2550371 3871576 4144724 4480544 4796656 5100742 7743152 8289448 9593312 10201484 15486304 16578896 20402968 33157792 40805936 48865933 81611872 97731866 168897503 195463732 337795006 390927464 415710473 675590012 781854928 831420946 890079479 1351180024 1563709856 1662841892 1780158958 2702360048 3325683784 3560317916 5404720096 6651367568 7120635832 13302735136 14241271664 28482543328 145082955077 290165910154 580331820308 1160663640616 2321327281232 4642654562464