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2734025005640 = 235375933115201
BaseRepresentation
bin100111110010010000100…
…101101101101001001000
3100200100222220101121211002
4213302100211231221020
5324243240400140030
65451554352154132
7401345455051535
oct47622045555110
910610886347732
102734025005640
11964547926855
12381a57538948
1316aa81c31736
14964829c1d8c
154b1b9223245
hex27c9096da48

2734025005640 has 64 divisors (see below), whose sum is σ = 6328470558960. Its totient is φ = 1062258278400.

The previous prime is 2734025005633. The next prime is 2734025005693. The reversal of 2734025005640 is 465005204372.

It can be written as a sum of positive squares in 8 ways, for example, as 2389763524996 + 344261480644 = 1545886^2 + 586738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2734025005594 and 2734025005603.

It is an unprimeable number.

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, 679961 + ... + 2435240.

Almost surely, 22734025005640 is an apocalyptic number.

2734025005640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2734025005640 is an abundant number, since it is smaller than the sum of its proper divisors (3594445553320).

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

2734025005640 is a wasteful number, since it uses less digits than its factorization.

2734025005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115842 (or 3115838 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The spelling of 2734025005640 in words is "two trillion, seven hundred thirty-four billion, twenty-five million, five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 593 740 1186 1480 2372 2965 4744 5930 11860 21941 23720 43882 87764 109705 175528 219410 438820 877640 3115201 6230402 12460804 15576005 24921608 31152010 62304020 115262437 124608040 230524874 461049748 576312185 922099496 1152624370 1847314193 2305248740 3694628386 4610497480 7389256772 9236570965 14778513544 18473141930 36946283860 68350625141 73892567720 136701250282 273402500564 341753125705 546805001128 683506251410 1367012502820 2734025005640