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11229376284 = 22327233191249
BaseRepresentation
bin10100111010101001…
…01010111100011100
31001222121001102100100
422131110222330130
5140444210020114
65054140301100
7545163060240
oct123524527434
931877042310
1011229376284
114842765675
122214841790
13109c5c8a69
1478753c420
1545ac9c909
hex29d52af1c

11229376284 has 72 divisors (see below), whose sum is σ = 32579820000. Its totient is φ = 3194606592.

The previous prime is 11229376283. The next prime is 11229376303. The reversal of 11229376284 is 48267392211.

11229376284 is a `hidden beast` number, since 1 + 12 + 2 + 9 + 3 + 7 + 628 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11229376283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36909 + ... + 154340.

It is an arithmetic number, because the mean of its divisors is an integer number (452497500).

Almost surely, 211229376284 is an apocalyptic number.

11229376284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11229376284 is an abundant number, since it is smaller than the sum of its proper divisors (21350443716).

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

11229376284 is a wasteful number, since it uses less digits than its factorization.

11229376284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191499 (or 191494 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 11229376284 in words is "eleven billion, two hundred twenty-nine million, three hundred seventy-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 233 252 466 699 932 1398 1631 2097 2796 3262 4194 4893 6524 8388 9786 14679 19572 29358 58716 191249 382498 573747 764996 1147494 1338743 1721241 2294988 2677486 3442482 4016229 5354972 6884964 8032458 12048687 16064916 24097374 44561017 48194748 89122034 133683051 178244068 267366102 311927119 401049153 534732204 623854238 802098306 935781357 1247708476 1604196612 1871562714 2807344071 3743125428 5614688142 11229376284