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11464501356 = 223271137111779
BaseRepresentation
bin10101010110101011…
…00110100001101100
31002120222111000022100
422223111212201230
5141434403020411
65133340015100
7554046440130
oct125325464154
932528430270
1011464501356
114953459610
12227b531490
131109230a19
147aa8653c0
15471744456
hex2ab56686c

11464501356 has 144 divisors (see below), whose sum is σ = 37107383040. Its totient is φ = 2897285760.

The previous prime is 11464501337. The next prime is 11464501369. The reversal of 11464501356 is 65310546411.

11464501356 is a `hidden beast` number, since 1 + 1 + 4 + 645 + 0 + 1 + 3 + 5 + 6 = 666.

11464501356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11464501356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46675 + ... + 158453.

It is an arithmetic number, because the mean of its divisors is an integer number (257690160).

Almost surely, 211464501356 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 11464501356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553691520).

11464501356 is an abundant number, since it is smaller than the sum of its proper divisors (25642881684).

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

11464501356 is a wasteful number, since it uses less digits than its factorization.

11464501356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111844 (or 111839 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11464501356 in words is "eleven billion, four hundred sixty-four million, five hundred one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 37 42 44 63 66 74 77 84 99 111 126 132 148 154 198 222 231 252 259 308 333 396 407 444 462 518 666 693 777 814 924 1036 1221 1332 1386 1554 1628 2331 2442 2772 2849 3108 3663 4662 4884 5698 7326 8547 9324 11396 14652 17094 25641 34188 51282 102564 111779 223558 335337 447116 670674 782453 1006011 1229569 1341348 1564906 2012022 2347359 2459138 3129812 3688707 4024044 4135823 4694718 4918276 7042077 7377414 8271646 8606983 9389436 11066121 12407469 14084154 14754828 16543292 17213966 22132242 24814938 25820949 28168308 28950761 34427932 37222407 44264484 45494053 49629876 51641898 57901522 74444814 77462847 86852283 90988106 103283796 115803044 136482159 148889628 154925694 173704566 181976212 260556849 272964318 309851388 318458371 347409132 409446477 521113698 545928636 636916742 818892954 955375113 1042227396 1273833484 1637785908 1910750226 2866125339 3821500452 5732250678 11464501356