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11034500664 = 23311127397829
BaseRepresentation
bin10100100011011010…
…10001111000111000
31001111000100201020210
422101231101320320
5140044313010124
65022535351120
7540305464605
oct122155217070
931430321223
1011034500664
114752762740
12217b5224a0
13106b117045
147696d16ac
15448b06a29
hex291b51e38

11034500664 has 128 divisors (see below), whose sum is σ = 30444134400. Its totient is φ = 3305111040.

The previous prime is 11034500657. The next prime is 11034500671. The reversal of 11034500664 is 46600543011.

It is an interprime number because it is at equal distance from previous prime (11034500657) and next prime (11034500671).

It is a congruent 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, 13310202 + ... + 13311030.

It is an arithmetic number, because the mean of its divisors is an integer number (237844800).

Almost surely, 211034500664 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 11034500664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222067200).

11034500664 is an abundant number, since it is smaller than the sum of its proper divisors (19409633736).

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

11034500664 is a wasteful number, since it uses less digits than its factorization.

11034500664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 11034500664 in words is "eleven billion, thirty-four million, five hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 397 508 762 794 829 1016 1191 1397 1524 1588 1658 2382 2487 2794 3048 3176 3316 4191 4367 4764 4974 5588 6632 8382 8734 9119 9528 9948 11176 13101 16764 17468 18238 19896 26202 27357 33528 34936 36476 50419 52404 54714 72952 100838 104808 105283 109428 151257 201676 210566 218856 302514 315849 329113 403352 421132 554609 605028 631698 658226 842264 987339 1109218 1158113 1210056 1263396 1316452 1663827 1974678 2218436 2316226 2526792 2632904 3327654 3474339 3620243 3949356 4436872 4632452 6655308 6948678 7240486 7898712 9264904 10860729 13310616 13897356 14480972 21721458 27794712 28961944 41797351 43442916 83594702 86885832 125392053 167189404 250784106 334378808 459770861 501568212 919541722 1003136424 1379312583 1839083444 2758625166 3678166888 5517250332 11034500664