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4064042252565 = 3251076781124471
BaseRepresentation
bin111011001000111011110…
…010110111100100010101
3112101112000002111012202100
4323020323302313210111
51013041124304040230
612350554545432313
7566421520113531
oct73107362674425
915345002435670
104064042252565
1113276069a1929
1255777b63b699
13236311b4c239
141009b49c4bc1
1570aad52c660
hex3b23bcb7915

4064042252565 has 48 divisors (see below), whose sum is σ = 7111280532096. Its totient is φ = 2146898390400.

The previous prime is 4064042252539. The next prime is 4064042252623. The reversal of 4064042252565 is 5652522404604.

4064042252565 is a `hidden beast` number, since 4 + 0 + 6 + 40 + 4 + 22 + 525 + 65 = 666.

It is not a de Polignac number, because 4064042252565 - 27 = 4064042252437 is a prime.

It is a super-3 number, since 3×40640422525653 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4064042252565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32588280 + ... + 32712750.

It is an arithmetic number, because the mean of its divisors is an integer number (148151677752).

Almost surely, 24064042252565 is an apocalyptic number.

4064042252565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4064042252565 is a deficient number, since it is larger than the sum of its proper divisors (3047238279531).

4064042252565 is a wasteful number, since it uses less digits than its factorization.

4064042252565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131370 (or 131367 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 4064042252565 in words is "four trillion, sixty-four billion, forty-two million, two hundred fifty-two thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 107 321 535 963 1605 4815 6781 20343 33905 61029 101715 124471 305145 373413 622355 725567 1120239 1867065 2176701 3627835 5601195 6530103 10883505 13318397 32650515 39955191 66591985 119865573 199775955 599327865 844037851 2532113553 4220189255 7596340659 12660567765 37981703295 90312050057 270936150171 451560250285 812808450513 1354680750855 4064042252565