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1000068001156 = 227261211712
BaseRepresentation
bin11101000110110001011…
…00101010110110000100
310112121100110101020112101
432203120230222312010
5112341114402014111
62043231440001444
7132152421516100
oct16433054526604
93477313336471
101000068001156
113561433511a4
121419a0900284
13733c93b7603
14365914a8900
151b0326e9bc1
hexe8d8b2ad84

1000068001156 has 81 divisors (see below), whose sum is σ = 2071543513221. Its totient is φ = 421214320800.

The previous prime is 1000068001151. The next prime is 1000068001169. The reversal of 1000068001156 is 6511008600001.

The square root of 1000068001156 is 1000034.

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., 32520351556 + 967547649600 = 180334^2 + 983640^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1000068001151) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 854028451 + ... + 854029621.

Almost surely, 21000068001156 is an apocalyptic number.

1000068001156 is the 1000034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000068001156

1000068001156 is an abundant number, since it is smaller than the sum of its proper divisors (1071475512065).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000068001156 is an frugal number, since it uses more digits than its factorization.

1000068001156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 1000068001156 in words is "one trillion, sixty-eight million, one thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1171 1708 2342 2989 3721 4684 5978 7442 8197 11956 14884 16394 26047 32788 52094 57379 71431 104188 114758 142862 182329 229516 285724 364658 500017 729316 1000034 1371241 2000068 2742482 3500119 4357291 5484964 7000238 8714582 9598687 14000476 17429164 19197374 30501037 38394748 61002074 67190809 83645701 122004148 134381618 167291402 213507259 268763236 334582804 427014518 585519907 854029036 1171039814 2342079628 4098639349 5102387761 8197278698 10204775522 16394557396 20409551044 35716714327 71433428654 142866857308 250017000289 500034000578 1000068001156