Search a number
-
+
1009242580612 = 227478330730097
BaseRepresentation
bin11101010111110111000…
…10111010011010000100
310120111000211222011112111
432223323202322122010
5113013412100034422
62051350055030404
7132625654251130
oct16537342723204
93514024864474
101009242580612
1135a021142572
1214372136b404
137422c091456
1436bc1b663c0
151b3bcdada77
hexeafb8ba684

1009242580612 has 96 divisors (see below), whose sum is σ = 2093133385728. Its totient is φ = 416853195264.

The previous prime is 1009242580607. The next prime is 1009242580651. The reversal of 1009242580612 is 2160852429001.

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, 33517948 + ... + 33548044.

It is an arithmetic number, because the mean of its divisors is an integer number (21803472768).

Almost surely, 21009242580612 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 1009242580612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046566692864).

1009242580612 is an abundant number, since it is smaller than the sum of its proper divisors (1083890805116).

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

1009242580612 is a wasteful number, since it uses less digits than its factorization.

1009242580612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30545 (or 30543 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 1009242580612 in words is "one trillion, nine billion, two hundred forty-two million, five hundred eighty thousand, six hundred twelve".

Divisors: 1 2 4 7 14 28 47 83 94 166 188 307 329 332 581 614 658 1162 1228 1316 2149 2324 3901 4298 7802 8596 14429 15604 25481 27307 28858 30097 50962 54614 57716 60194 101003 101924 109228 120388 178367 202006 210679 356734 404012 421358 713468 842716 1197607 1414559 2395214 2498051 2829118 4790428 4996102 5658236 8383249 9239779 9901913 9992204 16766498 17486357 18479558 19803826 33532996 34972714 36959116 39607652 64678453 69945428 117408397 129356906 234816794 258713812 434269613 469633588 766901657 821858779 868539226 1533803314 1643717558 1737078452 3039887291 3067606628 3287435116 5368311599 6079774582 10736623198 12159549164 21473246396 36044377879 72088755758 144177511516 252310645153 504621290306 1009242580612