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11411354520 = 233454185903
BaseRepresentation
bin10101010000010101…
…10111001110011000
31002110021110212120000
422220022313032120
5141332301321040
65124200533000
7552532625106
oct125012671630
932407425500
1011411354520
114926459605
122265781160
1310cb2131a7
147a378cc76
1546bc47130
hex2a82b7398

11411354520 has 160 divisors (see below), whose sum is σ = 39290771520. Its totient is φ = 2968773120.

The previous prime is 11411354509. The next prime is 11411354543. The reversal of 11411354520 is 2545311411.

11411354520 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 135 + 4 + 520 = 666.

It is a super-2 number, since 2×114113545202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89889 + ... + 175791.

It is an arithmetic number, because the mean of its divisors is an integer number (245567322).

Almost surely, 211411354520 is an apocalyptic number.

11411354520 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 11411354520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19645385760).

11411354520 is an abundant number, since it is smaller than the sum of its proper divisors (27879417000).

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

11411354520 is a wasteful number, since it uses less digits than its factorization.

11411354520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85967 (or 85954 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11411354520 its reverse (2545311411), we get a palindrome (13956665931).

The spelling of 11411354520 in words is "eleven billion, four hundred eleven million, three hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1080 1107 1230 1476 1620 1640 1845 2214 2460 2952 3240 3321 3690 4428 4920 5535 6642 7380 8856 11070 13284 14760 16605 22140 26568 33210 44280 66420 85903 132840 171806 257709 343612 429515 515418 687224 773127 859030 1030836 1288545 1546254 1718060 2061672 2319381 2577090 3092508 3436120 3522023 3865635 4638762 5154180 6185016 6958143 7044046 7731270 9277524 10308360 10566069 11596905 13916286 14088092 15462540 17610115 18555048 21132138 23193810 27832572 28176184 30925080 31698207 34790715 35220230 42264276 46387620 52830345 55665144 63396414 69581430 70440460 84528552 92775240 95094621 105660690 126792828 139162860 140880920 158491035 190189242 211321380 253585656 278325720 285283863 316982070 380378484 422642760 475473105 570567726 633964140 760756968 950946210 1141135452 1267928280 1426419315 1901892420 2282270904 2852838630 3803784840 5705677260 11411354520