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11014896713232 = 243113137143910301
BaseRepresentation
bin1010000001001001101100…
…0000010111111000010000
31110000000101002110010012010
42200102123000113320100
52420432002024310412
635232101303502520
72214541260151206
oct240223300277020
943000332403163
1011014896713232
113567434045065
12129a916757a40
1361b914748579
142a11a3b91076
151417c93ba33c
hexa049b017e10

11014896713232 has 160 divisors (see below), whose sum is σ = 28939409187840. Its totient is φ = 3609715916800.

The previous prime is 11014896713173. The next prime is 11014896713251. The reversal of 11014896713232 is 23231769841011.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1069298482 + ... + 1069308782.

It is an arithmetic number, because the mean of its divisors is an integer number (180871307424).

Almost surely, 211014896713232 is an apocalyptic number.

11014896713232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014896713232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469704593920).

11014896713232 is an abundant number, since it is smaller than the sum of its proper divisors (17924512474608).

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

11014896713232 is a wasteful number, since it uses less digits than its factorization.

11014896713232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12001 (or 11995 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 11014896713232 in words is "eleven trillion, fourteen billion, eight hundred ninety-six million, seven hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 137 226 274 339 411 452 548 678 822 904 1096 1356 1439 1644 1808 2192 2712 2878 3288 4317 5424 5756 6576 8634 10301 11512 15481 17268 20602 23024 30903 30962 34536 41204 46443 61806 61924 69072 82408 92886 123612 123848 162607 164816 185772 197143 247224 247696 325214 371544 394286 487821 494448 591429 650428 743088 788572 975642 1164013 1182858 1300856 1411237 1577144 1951284 2328026 2365716 2601712 2822474 3154288 3492039 3902568 4233711 4656052 4731432 5644948 6984078 7805136 8467422 9312104 9462864 11289896 13968156 14823139 16934844 18624208 22277159 22579792 27936312 29646278 33869688 44469417 44554318 55872624 59292556 66831477 67739376 88938834 89108636 118585112 133662954 159469781 177877668 178217272 237170224 267325908 318939562 355755336 356434544 478409343 534651816 637879124 711510672 956818686 1069303632 1275758248 1675014707 1913637372 2030770043 2551516496 3350029414 3827274744 4061540086 5025044121 6092310129 6700058828 7654549488 8123080172 10050088242 12184620258 13400117656 16246160344 20100176484 24369240516 26800235312 32492320688 40200352968 48738481032 80400705936 97476962064 229477014859 458954029718 688431044577 917908059436 1376862089154 1835816118872 2753724178308 3671632237744 5507448356616 11014896713232