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11025541430864 = 2419523427316229
BaseRepresentation
bin1010000001110001010101…
…1110101111111001010000
31110001000211221100210122022
42200130111132233321100
52421120302101241424
635241021441031012
72215366123566332
oct240342536577120
943030757323568
1011025541430864
1135709a677aa64
1212a09a7625468
1361c91cb8a55c
142a18d37bb452
15141bedb7a95e
hexa07157afe50

11025541430864 has 80 divisors (see below), whose sum is σ = 22535957457600. Its totient is φ = 5211097970688.

The previous prime is 11025541430819. The next prime is 11025541430873. The reversal of 11025541430864 is 46803414552011.

11025541430864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679364702 + ... + 679380930.

It is an arithmetic number, because the mean of its divisors is an integer number (281699468220).

Almost surely, 211025541430864 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 11025541430864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267978728800).

11025541430864 is an abundant number, since it is smaller than the sum of its proper divisors (11510416026736).

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

11025541430864 is a wasteful number, since it uses less digits than its factorization.

11025541430864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21052 (or 21046 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

Adding to 11025541430864 its reverse (46803414552011), we get a palindrome (57828955982875).

The spelling of 11025541430864 in words is "eleven trillion, twenty-five billion, five hundred forty-one million, four hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 523 1046 2092 4184 4273 8368 8546 9937 16229 17092 19874 32458 34184 39748 64916 68368 79496 81187 129832 158992 162374 259664 308351 324748 616702 649496 1233404 1298992 2234779 2466808 4469558 4933616 8487767 8939116 16975534 17878232 33951068 35756464 42460801 67902136 69346517 84921602 135804272 138693034 161267573 169843204 277386068 322535146 339686408 554772136 645070292 679372816 1109544272 1290140584 1317583823 2580281168 2635167646 5270335292 10540670584 21081341168 36268228391 72536456782 145072913564 290145827128 580291654256 689096339429 1378192678858 2756385357716 5512770715432 11025541430864