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11254135552 = 28119741201
BaseRepresentation
bin10100111101100110…
…00111101100000000
31002001022122022200021
422132303013230000
5141022024314202
65100423103224
7545613400552
oct123663075400
932038568607
1011254135552
114855736680
122220ba1b14
1310a478750a
1478a9454d2
1545d03da37
hex29ecc7b00

11254135552 has 72 divisors (see below), whose sum is σ = 24759765072. Its totient is φ = 5062656000.

The previous prime is 11254135523. The next prime is 11254135577. The reversal of 11254135552 is 25553145211.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252552 + ... + 293752.

It is an arithmetic number, because the mean of its divisors is an integer number (343885626).

Almost surely, 211254135552 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 11254135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12379882536).

11254135552 is an abundant number, since it is smaller than the sum of its proper divisors (13505629520).

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

11254135552 is an equidigital number, since it uses as much as digits as its factorization.

11254135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41325 (or 41311 counting only the distinct ones).

The product of its digits is 30000, while the sum is 34.

The spelling of 11254135552 in words is "eleven billion, two hundred fifty-four million, one hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 704 776 1067 1408 1552 2134 2816 3104 4268 6208 8536 12416 17072 24832 34144 41201 68288 82402 136576 164804 273152 329608 453211 659216 906422 1318432 1812844 2636864 3625688 3996497 5273728 7251376 7992994 10547456 14502752 15985988 29005504 31971976 43961467 58011008 63943952 87922934 116022016 127887904 175845868 255775808 351691736 511551616 703383472 1023103232 1406766944 2813533888 5627067776 11254135552