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1076057056228 = 2271129797151157
BaseRepresentation
bin11111010100010011111…
…11111010001111100100
310210212111021012012110111
433222021333322033210
5120112231101244403
62142200033102404
7140512461030520
oct17521177721744
93725437165414
101076057056228
11385398178a60
121546693b7a04
137a61956801b
143a11d680d80
151cecd9d056d
hexfa89ffa3e4

1076057056228 has 96 divisors (see below), whose sum is σ = 2431781533440. Its totient is φ = 404275791360.

The previous prime is 1076057056213. The next prime is 1076057056237. The reversal of 1076057056228 is 8226507506701.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7043226 + ... + 7194382.

It is an arithmetic number, because the mean of its divisors is an integer number (25331057640).

Almost surely, 21076057056228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076057056228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215890766720).

1076057056228 is an abundant number, since it is smaller than the sum of its proper divisors (1355724477212).

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

1076057056228 is a wasteful number, since it uses less digits than its factorization.

1076057056228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152005 (or 152003 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 1076057056228 in words is "one trillion, seventy-six billion, fifty-seven million, fifty-six thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 797 812 1276 1594 2233 3188 4466 5579 8767 8932 11158 17534 22316 23113 35068 46226 61369 92452 122738 151157 161791 245476 254243 302314 323582 508486 604628 647164 1016972 1058099 1662727 1779701 2116198 3325454 3559402 4232396 4383553 6650908 7118804 8767106 11639089 17534212 23278178 30684871 46556356 48219083 61369742 96438166 120472129 122739484 192876332 240944258 337533581 481888516 675067162 843304903 1325193419 1350134324 1686609806 2650386838 3373219612 3493691741 5300773676 6987383482 9276353933 13974766964 18552707866 24455842187 37105415732 38430609151 48911684374 76861218302 97823368748 153722436604 269014264057 538028528114 1076057056228