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1032975453316 = 2261328292
BaseRepresentation
bin11110000100000100010…
…00101000110010000100
310122202021211120000110211
433002002020220302010
5113411013204001231
62110313052525204
7134426044323622
oct17020210506204
93582254500424
101032975453316
1136909a794054
12148245480804
1376541c2c3b1
1437dd3b08512
151bd0b6d5eb1
hexf082228c84

1032975453316 has 27 divisors (see below), whose sum is σ = 1812847590351. Its totient is φ = 515023160544.

The previous prime is 1032975453281. The next prime is 1032975453319. The reversal of 1032975453316 is 6133545792301.

The square root of 1032975453316 is 1016354.

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 380602624900 + 652372828416 = 616930^2 + 807696^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1032975453316.

It is not an unprimeable number, because it can be changed into a prime (1032975453319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1246049590 + ... + 1246050418.

Almost surely, 21032975453316 is an apocalyptic number.

1032975453316 is the 1016354-th square number.

It is an amenable number.

1032975453316 is a deficient number, since it is larger than the sum of its proper divisors (779872137035).

1032975453316 is an frugal number, since it uses more digits than its factorization.

1032975453316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 49.

Multiplying 1032975453316 by its sum of digits (49), we get a square (50615797212484 = 71144782).

The spelling of 1032975453316 in words is "one trillion, thirty-two billion, nine hundred seventy-five million, four hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 4 613 829 1226 1658 2452 3316 375769 508177 687241 751538 1016354 1374482 1503076 2032708 2748964 311512501 421278733 623025002 842557466 1246050004 1685114932 258243863329 516487726658 1032975453316