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11325554020 = 22511217614513
BaseRepresentation
bin10101000110000111…
…00011110101100100
31002020022000202101201
422203003203311210
5141143320212040
65111453532244
7550441422634
oct124303436544
932208022351
1011325554020
114891a86400
122240aa4084
1310b6501871
147962166c4
15464449a9a
hex2a30e3d64

11325554020 has 144 divisors (see below), whose sum is σ = 28140167664. Its totient is φ = 3811737600.

The previous prime is 11325553957. The next prime is 11325554021. The reversal of 11325554020 is 2045552311.

It can be written as a sum of positive squares in 8 ways, for example, as 3689590564 + 7635963456 = 60742^2 + 87384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11325554020.

It is not an unprimeable number, because it can be changed into a prime (11325554021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507284 + ... + 2511796.

It is an arithmetic number, because the mean of its divisors is an integer number (195417831).

Almost surely, 211325554020 is an apocalyptic number.

11325554020 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 11325554020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14070083832).

11325554020 is an abundant number, since it is smaller than the sum of its proper divisors (16814613644).

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

11325554020 is a wasteful number, since it uses less digits than its factorization.

11325554020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 11325554020 in words is "eleven billion, three hundred twenty-five million, five hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 61 68 85 110 121 122 170 187 220 242 244 305 340 374 484 605 610 671 748 935 1037 1210 1220 1342 1870 2057 2074 2420 2684 3355 3740 4114 4148 4513 5185 6710 7381 8228 9026 10285 10370 11407 13420 14762 18052 20570 20740 22565 22814 29524 36905 41140 45130 45628 49643 57035 73810 76721 90260 99286 114070 125477 147620 153442 198572 228140 248215 250954 275293 306884 383605 496430 501908 546073 550586 627385 767210 843931 992860 1092146 1101172 1254770 1376465 1534420 1687862 2184292 2509540 2730365 2752930 3028223 3375724 4219655 4679981 5460730 5505860 6056446 8439310 9283241 9359962 10921460 12112892 15141115 16878620 18566482 18719924 23399905 30282230 33310453 37132964 46416205 46799810 51479791 60564460 66620906 92832410 93599620 102959582 133241812 166552265 185664820 205919164 257398955 333104530 514797910 566277701 666209060 1029595820 1132555402 2265110804 2831388505 5662777010 11325554020