Search a number
-
+
11146036044 = 223111321926297
BaseRepresentation
bin10100110000101101…
…10000001101001100
31001202210020022000210
422120112300031030
5140311341123134
65042002122420
7543131512623
oct123026601514
931683208023
1011146036044
1147aa712940
1221b0950410
131088269200
1477a4466ba
154537d92e9
hex2985b034c

11146036044 has 144 divisors (see below), whose sum is σ = 32340228480. Its totient is φ = 2953566720.

The previous prime is 11146035991. The next prime is 11146036079. The reversal of 11146036044 is 44063064111.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410704 + ... + 437000.

It is an arithmetic number, because the mean of its divisors is an integer number (224584920).

Almost surely, 211146036044 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 11146036044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170114240).

11146036044 is an abundant number, since it is smaller than the sum of its proper divisors (21194192436).

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

11146036044 is a wasteful number, since it uses less digits than its factorization.

11146036044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26360 (or 26345 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 11146036044 in words is "eleven billion, one hundred forty-six million, thirty-six thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 132 143 156 169 209 228 247 286 338 418 429 494 507 572 627 676 741 836 858 988 1014 1254 1482 1716 1859 2028 2508 2717 2964 3211 3718 5434 5577 6422 7436 8151 9633 10868 11154 12844 16302 19266 22308 26297 32604 35321 38532 52594 70642 78891 105188 105963 141284 157782 211926 289267 315564 341861 423852 499643 578534 683722 867801 999286 1025583 1157068 1367444 1498929 1735602 1998572 2051166 2997858 3471204 3760471 4102332 4444193 5496073 5995716 6495359 7520942 8888386 10992146 11281413 12990718 13332579 15041884 16488219 17776772 19486077 21984292 22562826 25981436 26665158 32976438 38972154 45125652 48886123 53330316 65952876 71448949 77944308 84439667 97772246 142897898 146658369 168879334 195544492 214346847 253319001 285795796 293316738 337758668 428693694 506638002 586633476 857387388 928836337 1013276004 1857672674 2786509011 3715345348 5573018022 11146036044