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11263458804 = 22313971275861
BaseRepresentation
bin10100111110101101…
…01011110111110100
31002001222011222202220
422133112223313310
5141031421140204
65101355002340
7546055551213
oct123726536764
932058158686
1011263458804
11485aa24344
1222241393b0
1310a66a0030
1478bc9107a
1545dc811d9
hex29f5abdf4

11263458804 has 96 divisors (see below), whose sum is σ = 28824907776. Its totient is φ = 3402362880.

The previous prime is 11263458803. The next prime is 11263458821. The reversal of 11263458804 is 40885436211.

It is a happy number.

It is a super-2 number, since 2×112634588042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11263458803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918834 + ... + 1924694.

It is an arithmetic number, because the mean of its divisors is an integer number (300259456).

Almost surely, 211263458804 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 11263458804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14412453888).

11263458804 is an abundant number, since it is smaller than the sum of its proper divisors (17561448972).

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

11263458804 is a wasteful number, since it uses less digits than its factorization.

11263458804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 11263458804 in words is "eleven billion, two hundred sixty-three million, four hundred fifty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 127 156 194 254 291 381 388 508 582 762 1164 1261 1524 1651 2522 3302 3783 4953 5044 5861 6604 7566 9906 11722 12319 15132 17583 19812 23444 24638 35166 36957 49276 70332 73914 76193 147828 152386 160147 228579 304772 320294 457158 480441 568517 640588 744347 914316 960882 1137034 1488694 1705551 1921764 2233041 2274068 2977388 3411102 4466082 6822204 7390721 8932164 9676511 14781442 19353022 22172163 29029533 29562884 38706044 44344326 58059066 72201659 88688652 116118132 144403318 216604977 288806636 433209954 866419908 938621567 1877243134 2815864701 3754486268 5631729402 11263458804