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11241001808 = 242940959233
BaseRepresentation
bin10100111100000010…
…00001001101010000
31002000101221001120022
422132001001031100
5141010144024213
65055233403012
7545363640011
oct123601011520
932011831508
1011241001808
114849286043
122218709468
1310a1b3947a
14788cc7008
1545bce7308
hex29e041350

11241001808 has 40 divisors (see below), whose sum is σ = 22585924200. Its totient is φ = 5413330944.

The previous prime is 11241001789. The next prime is 11241001829. The reversal of 11241001808 is 80810014211.

It can be written as a sum of positive squares in 4 ways, for example, as 2467307584 + 8773694224 = 49672^2 + 93668^2 .

It is a congruent number.

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, 160160 + ... + 219392.

It is an arithmetic number, because the mean of its divisors is an integer number (564648105).

Almost surely, 211241001808 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 11241001808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292962100).

11241001808 is an abundant number, since it is smaller than the sum of its proper divisors (11344922392).

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

11241001808 is a wasteful number, since it uses less digits than its factorization.

11241001808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59679 (or 59673 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The spelling of 11241001808 in words is "eleven billion, two hundred forty-one million, one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 29 58 116 232 409 464 818 1636 3272 6544 11861 23722 47444 59233 94888 118466 189776 236932 473864 947728 1717757 3435514 6871028 13742056 24226297 27484112 48452594 96905188 193810376 387620752 702562613 1405125226 2810250452 5620500904 11241001808