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1019825298496 = 261262332
BaseRepresentation
bin11101101011100100101…
…00110001110001000000
310121111100101012221022201
432311302110301301000
5113202100234022441
62100300135242544
7133452136003054
oct16656224616100
93544311187281
101019825298496
11363561881104
12145795519454
13752277061b4
1437507453c64
151b7dbec3c31
hexed72531c40

1019825298496 has 21 divisors (see below), whose sum is σ = 2023731858421. Its totient is φ = 509908609792.

The previous prime is 1019825298421. The next prime is 1019825298517. The reversal of 1019825298496 is 6948925289101.

The square root of 1019825298496 is 1009864.

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

It can be written as a sum of positive squares in only one way, i.e., 434808360000 + 585016938496 = 659400^2 + 764864^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8015796 + ... + 8142028.

Almost surely, 21019825298496 is an apocalyptic number.

1019825298496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1019825298496 is the 1009864-th square number.

It is an amenable number.

1019825298496 is a deficient number, since it is larger than the sum of its proper divisors (1003906559925).

1019825298496 is an frugal number, since it uses more digits than its factorization.

1019825298496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252478 (or 126235 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 64.

Multiplying 1019825298496 by its sum of digits (64), we get a square (65268819103744 = 80789122).

1019825298496 divided by its sum of digits (64) gives a square (15934770289 = 1262332).

The spelling of 1019825298496 in words is "one trillion, nineteen billion, eight hundred twenty-five million, two hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 126233 252466 504932 1009864 2019728 4039456 8078912 15934770289 31869540578 63739081156 127478162312 254956324624 509912649248 1019825298496