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1046128022416 = 24241210612
BaseRepresentation
bin11110011100100100001…
…01101101001110010000
310201000020110102202101201
433032102011231032100
5114114432233204131
62120330134040544
7135403012321261
oct17162205551620
93630213382351
101046128022416
11373729aa5974
1214a8b61a9154
1377859abc469
14388c082a968
151c32b223761
hexf39216d390

1046128022416 has 45 divisors (see below), whose sum is σ = 2037238312179. Its totient is φ = 520402675200.

The previous prime is 1046128022399. The next prime is 1046128022417. The reversal of 1046128022416 is 6142208216401.

The square root of 1046128022416 is 1022804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 178249462416 + 867878560000 = 422196^2 + 931600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1046128022417) 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 8 ways as a sum of consecutive naturals, for example, 985982526 + ... + 985983586.

Almost surely, 21046128022416 is an apocalyptic number.

1046128022416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1046128022416 is the 1022804-th square number.

It is an amenable number.

1046128022416 is a deficient number, since it is larger than the sum of its proper divisors (991110289763).

1046128022416 is an frugal number, since it uses more digits than its factorization.

1046128022416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 1046128022416 in words is "one trillion, forty-six billion, one hundred twenty-eight million, twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 241 482 964 1061 1928 2122 3856 4244 8488 16976 58081 116162 232324 255701 464648 511402 929296 1022804 1125721 2045608 2251442 4091216 4502884 9005768 18011536 61623941 123247882 246495764 271298761 492991528 542597522 985983056 1085195044 2170390088 4340780176 65383001401 130766002802 261532005604 523064011208 1046128022416