Search a number
-
+
1000206379055 = 5133115125712791
BaseRepresentation
bin11101000111000001111…
…00100010100000101111
310112121201002202120022202
432203200330202200233
5112341410313112210
62043253301532115
7132156021642152
oct16434074424057
93477632676282
101000206379055
113562044755a4
12141a1b11403b
137341bc77520
14365a5a09c99
151b03e9309a5
hexe8e0f2282f

1000206379055 has 64 divisors (see below), whose sum is σ = 1348438081536. Its totient is φ = 707235840000.

The previous prime is 1000206379021. The next prime is 1000206379061. The reversal of 1000206379055 is 5509736020001.

It is a happy number.

It is not a de Polignac number, because 1000206379055 - 26 = 1000206378991 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 78189710 + ... + 78202500.

It is an arithmetic number, because the mean of its divisors is an integer number (21069345024).

Almost surely, 21000206379055 is an apocalyptic number.

1000206379055 is a deficient number, since it is larger than the sum of its proper divisors (348231702481).

1000206379055 is a wasteful number, since it uses less digits than its factorization.

1000206379055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248.

The product of its (nonzero) digits is 56700, while the sum is 38.

The spelling of 1000206379055 in words is "one trillion, two hundred six million, three hundred seventy-nine thousand, fifty-five".

Divisors: 1 5 13 31 65 151 155 257 403 755 1285 1963 2015 3341 4681 7967 9815 12791 16705 23405 38807 39835 60853 63955 103571 166283 194035 304265 396521 504491 517855 831415 1203017 1931441 1982605 2522455 3287287 5154773 6015085 9657205 15639221 16436435 25108733 25773865 42734731 59874671 78196105 101905897 125543665 213673655 299373355 496380337 509529485 778370723 1324776661 2481901685 3891853615 6452944381 6623883305 15387790447 32264721905 76938952235 200041275811 1000206379055