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46004123006112 = 25310938911301847
BaseRepresentation
bin10100111010111001010110…
…11010001111010010100000
320000212221200102121222022210
422131130223122033102200
522012212420442143422
6241502000301402120
712455455024402665
oct1235345332172240
9200787612558283
1046004123006112
111372726a125a97
1251abaa7869340
131c89229b8623b
14b5087babba6c
1554ba15b2610c
hex29d72b68f4a0

46004123006112 has 96 divisors (see below), whose sum is σ = 122182018358400. Its totient is φ = 15154961753088.

The previous prime is 46004123006069. The next prime is 46004123006123. The reversal of 46004123006112 is 21160032140064.

46004123006112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×460041230061122 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46004123006112.

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 15 ways as a sum of consecutive naturals, for example, 1580428 + ... + 9721419.

It is an arithmetic number, because the mean of its divisors is an integer number (1272729357900).

Almost surely, 246004123006112 is an apocalyptic number.

It is an amenable number.

46004123006112 is an abundant number, since it is smaller than the sum of its proper divisors (76177895352288).

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

46004123006112 is a wasteful number, since it uses less digits than its factorization.

46004123006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302358 (or 11302350 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 46004123006112 its reverse (21160032140064), we get a palindrome (67164155146176).

The spelling of 46004123006112 in words is "forty-six trillion, four billion, one hundred twenty-three million, six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 389 436 654 778 872 1167 1308 1556 1744 2334 2616 3112 3488 4668 5232 6224 9336 10464 12448 18672 37344 42401 84802 127203 169604 254406 339208 508812 678416 1017624 1356832 2035248 4070496 11301847 22603694 33905541 45207388 67811082 90414776 135622164 180829552 271244328 361659104 542488656 1084977312 1231901323 2463802646 3695703969 4396418483 4927605292 7391407938 8792836966 9855210584 13189255449 14782815876 17585673932 19710421168 26378510898 29565631752 35171347864 39420842336 52757021796 59131263504 70342695728 105514043592 118262527008 140685391456 211028087184 422056174368 479209614647 958419229294 1437628843941 1916838458588 2875257687882 3833676917176 5750515375764 7667353834352 11501030751528 15334707668704 23002061503056 46004123006112