Search a number
-
+
11152510315456 = 26593941312283
BaseRepresentation
bin1010001001001010010101…
…1010100110101111000000
31110111011120121201102121111
42202102211122212233000
52430210320120043311
635415220440533104
72230512413365456
oct242224532465700
943434517642544
1011152510315456
11360a831367234
121301521181194
1362b8a5aa4c73
142a7ada4a09d6
15145180850d21
hexa24a56a6bc0

11152510315456 has 56 divisors (see below), whose sum is σ = 22191711729264. Its totient is φ = 5560917995520.

The previous prime is 11152510315447. The next prime is 11152510315459. The reversal of 11152510315456 is 65451301525111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152510315459) 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 7 ways as a sum of consecutive naturals, for example, 35556691 + ... + 35868973.

It is an arithmetic number, because the mean of its divisors is an integer number (396280566594).

Almost surely, 211152510315456 is an apocalyptic number.

11152510315456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11152510315456 is a deficient number, since it is larger than the sum of its proper divisors (11039201413808).

11152510315456 is an equidigital number, since it uses as much as digits as its factorization.

11152510315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313829 (or 313819 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 40.

The spelling of 11152510315456 in words is "eleven trillion, one hundred fifty-two billion, five hundred ten million, three hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 593 941 1186 1882 2372 3764 4744 7528 9488 15056 18976 30112 37952 60224 312283 558013 624566 1116026 1249132 2232052 2498264 4464104 4996528 8928208 9993056 17856416 19986112 35712832 185183819 293858303 370367638 587716606 740735276 1175433212 1481470552 2350866424 2962941104 4701732848 5925882208 9403465696 11851764416 18806931392 174257973679 348515947358 697031894716 1394063789432 2788127578864 5576255157728 11152510315456