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1005055556055 = 35198342488081
BaseRepresentation
bin11101010000000011111…
…10101011100111010111
310120002020001100021121220
432220001332223213113
5112431323210243210
62045414404341423
7132420133161345
oct16500176534727
93502201307556
101005055556055
11358272728aa1
121429530a4873
1373a127a9725
1436905a4a995
151b2254e3c70
hexea01fab9d7

1005055556055 has 32 divisors (see below), whose sum is σ = 1713119466240. Its totient is φ = 501699248640.

The previous prime is 1005055556023. The next prime is 1005055556069. The reversal of 1005055556055 is 5506555505001.

It is not a de Polignac number, because 1005055556055 - 25 = 1005055556023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005055555998 and 1005055556016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21220386 + ... + 21267695.

It is an arithmetic number, because the mean of its divisors is an integer number (53534983320).

Almost surely, 21005055556055 is an apocalyptic number.

1005055556055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005055556055 is a deficient number, since it is larger than the sum of its proper divisors (708063910185).

1005055556055 is a wasteful number, since it uses less digits than its factorization.

1005055556055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42488191.

The product of its (nonzero) digits is 468750, while the sum is 42.

The spelling of 1005055556055 in words is "one trillion, five billion, fifty-five million, five hundred fifty-six thousand, fifty-five".

Divisors: 1 3 5 15 19 57 83 95 249 285 415 1245 1577 4731 7885 23655 42488081 127464243 212440405 637321215 807273539 2421820617 3526510723 4036367695 10579532169 12109103085 17632553615 52897660845 67003703737 201011111211 335018518685 1005055556055