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11455147000 = 2353113832719
BaseRepresentation
bin10101010101100011…
…11010101111111000
31002120022212202112201
422222301322233320
5141430004201000
65132403315544
7553604100013
oct125261725770
932508782481
1011455147000
11494914a540
12227837bbb4
131107306cbb
147a950c37a
154709e796a
hex2aac7abf8

11455147000 has 128 divisors (see below), whose sum is σ = 29328998400. Its totient is φ = 4153104000.

The previous prime is 11455146991. The next prime is 11455147021. The reversal of 11455147000 is 74155411.

It is a self number, because there is not a number n which added to its sum of digits gives 11455147000.

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, 4211641 + ... + 4214359.

It is an arithmetic number, because the mean of its divisors is an integer number (229132800).

Almost surely, 211455147000 is an apocalyptic number.

11455147000 is a gapful number since it is divisible by the number (10) 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 11455147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664499200).

11455147000 is an abundant number, since it is smaller than the sum of its proper divisors (17873851400).

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

11455147000 is a wasteful number, since it uses less digits than its factorization.

11455147000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The spelling of 11455147000 in words is "eleven billion, four hundred fifty-five million, one hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 383 440 500 550 766 1000 1100 1375 1532 1915 2200 2719 2750 3064 3830 4213 5438 5500 7660 8426 9575 10876 11000 13595 15320 16852 19150 21065 21752 27190 29909 33704 38300 42130 47875 54380 59818 67975 76600 84260 95750 105325 108760 119636 135950 149545 168520 191500 210650 239272 271900 299090 339875 383000 421300 526625 543800 598180 679750 747725 842600 1041377 1053250 1196360 1359500 1495450 2082754 2106500 2719000 2990900 3738625 4165508 4213000 5206885 5981800 7477250 8331016 10413770 11455147 14954500 20827540 22910294 26034425 29909000 41655080 45820588 52068850 57275735 91641176 104137700 114551470 130172125 208275400 229102940 260344250 286378675 458205880 520688500 572757350 1041377000 1145514700 1431893375 2291029400 2863786750 5727573500 11455147000