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1019483993025 = 32528328112
BaseRepresentation
bin11101101010111011111…
…10110011001111000001
310121110110120222211020100
432311131332303033001
5113200400400234100
62100202224033013
7133440522650301
oct16653576631701
93543416884210
101019483993025
113633a7155273
121456bb162769
13751a1aa55b4
14374b3dab601
151b7bc056400
hexed5dfb33c1

1019483993025 has 81 divisors (see below), whose sum is σ = 1850556095427. Its totient is φ = 536511535200.

The previous prime is 1019483992981. The next prime is 1019483993041. The reversal of 1019483993025 is 5203993849101.

The square root of 1019483993025 is 1009695.

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

1019483993025 is a `hidden beast` number, since 10 + 19 + 483 + 99 + 30 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 367014237489 + 652469755536 = 605817^2 + 807756^2 .

It is not a de Polignac number, because 1019483993025 - 235 = 985124254657 is a prime.

It is a super-2 number, since 2×10194839930252 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1257069870 + ... + 1257070680.

Almost surely, 21019483993025 is an apocalyptic number.

1019483993025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1019483993025 is the 1009695-th square number.

1019483993025 is the 504848-th centered octagonal number.

It is an amenable number.

1019483993025 is a deficient number, since it is larger than the sum of its proper divisors (831072102402).

1019483993025 is an frugal number, since it uses more digits than its factorization.

1019483993025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1019483993025 in words is "one trillion, nineteen billion, four hundred eighty-three million, nine hundred ninety-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 83 225 249 415 747 811 1245 2075 2433 3735 4055 6225 6889 7299 12165 18675 20275 20667 34445 36495 60825 62001 67313 103335 172225 182475 201939 310005 336565 516675 605817 657721 1009695 1550025 1682825 1973163 3029085 3288605 5048475 5586979 5919489 9865815 15145425 16443025 16760937 27934895 29597445 49329075 50282811 54590843 83804685 139674475 147987225 163772529 251414055 272954215 419023425 491317587 818862645 1257070275 1364771075 2456587935 4094313225 4531039969 12282939675 13593119907 22655199845 40779359721 67965599535 113275999225 203896798605 339827997675 1019483993025