Search a number
-
+
1055335252352 = 27171614130047
BaseRepresentation
bin11110101101101101110…
…00100000000110000000
310201220000010110111102212
433112312320200012000
5114242311311033402
62124451521001252
7136150122431243
oct17266670400600
93656003414385
101055335252352
11377624268007
12150645783228
1378696488804
143911558725a
151c6b96d6952
hexf5b6e20180

1055335252352 has 64 divisors (see below), whose sum is σ = 2226309805440. Its totient is φ = 496581058560.

The previous prime is 1055335252271. The next prime is 1055335252381. The reversal of 1055335252352 is 2532525335501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10553352523522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35107793 + ... + 35137839.

It is an arithmetic number, because the mean of its divisors is an integer number (34786090710).

Almost surely, 21055335252352 is an apocalyptic number.

It is an amenable number.

1055335252352 is an abundant number, since it is smaller than the sum of its proper divisors (1170974553088).

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

1055335252352 is a wasteful number, since it uses less digits than its factorization.

1055335252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46219 (or 46207 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 41.

The spelling of 1055335252352 in words is "one trillion, fifty-five billion, three hundred thirty-five million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 16141 30047 32282 60094 64564 120188 129128 240376 258256 274397 480752 510799 516512 548794 961504 1021598 1033024 1097588 1923008 2043196 2066048 2195176 3846016 4086392 4390352 8172784 8780704 16345568 17561408 32691136 35122816 65382272 484988627 969977254 1939954508 3879909016 7759818032 8244806659 15519636064 16489613318 31039272128 32979226636 62078544256 65958453272 131916906544 263833813088 527667626176 1055335252352