Search a number
-
+
11346936484 = 221321722412
BaseRepresentation
bin10101001000101010…
…01000001010100100
31002021210021002121211
422210111020022210
5141214303431414
65113540121204
7551121240322
oct124425101244
932253232554
1011346936484
1148a3060364
122248096204
1310baa7a300
14798dc0d12
154662703c4
hex2a45482a4

11346936484 has 81 divisors (see below), whose sum is σ = 22936511241. Its totient is φ = 4908533760.

The previous prime is 11346936451. The next prime is 11346936493. The reversal of 11346936484 is 48463964311.

The square root of 11346936484 is 106522.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3791850084 + 7555086400 = 61578^2 + 86920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47082604 + ... + 47082844.

Almost surely, 211346936484 is an apocalyptic number.

11346936484 is the 106522-nd square number.

It is an amenable number.

11346936484 is an abundant number, since it is smaller than the sum of its proper divisors (11589574757).

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

11346936484 is a wasteful number, since it uses less digits than its factorization.

11346936484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

Multiplying 11346936484 by its sum of digits (49), we get a square (555999887716 = 7456542).

The spelling of 11346936484 in words is "eleven billion, three hundred forty-six million, nine hundred thirty-six thousand, four hundred eighty-four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 241 289 338 442 482 578 676 884 964 1156 2873 3133 3757 4097 5746 6266 7514 8194 11492 12532 15028 16388 40729 48841 53261 58081 69649 81458 97682 106522 116162 139298 162916 195364 213044 232324 278596 692393 755053 905437 987377 1384786 1510106 1810874 1974754 2769572 3020212 3621748 3949508 9815689 11770681 12835901 16785409 19631378 23541362 25671802 33570818 39262756 47082724 51343604 67141636 166866713 218210317 333733426 436420634 667466852 872841268 2836734121 5673468242 11346936484