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11161101536 = 251349315441
BaseRepresentation
bin10100110010100000…
…01110010011100000
31001210211120200222222
422121100032103200
5140324220222121
65043301050212
7543403540424
oct123120162340
931724520888
1011161101536
114808172862
1221b59b6968
13108b4125c0
1477c448b84
15454cb30ab
hex29940e4e0

11161101536 has 48 divisors (see below), whose sum is σ = 23672830608. Its totient is φ = 5149286400.

The previous prime is 11161101533. The next prime is 11161101557. The reversal of 11161101536 is 63510116111.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11161101533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2048576 + ... + 2054016.

It is an arithmetic number, because the mean of its divisors is an integer number (493183971).

Almost surely, 211161101536 is an apocalyptic number.

11161101536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11161101536 is an abundant number, since it is smaller than the sum of its proper divisors (12511729072).

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

11161101536 is a wasteful number, since it uses less digits than its factorization.

11161101536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 26.

Adding to 11161101536 its reverse (63510116111), we get a palindrome (74671217647).

The spelling of 11161101536 in words is "eleven billion, one hundred sixty-one million, one hundred one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 4931 5441 9862 10882 19724 21764 39448 43528 64103 70733 78896 87056 128206 141466 157792 174112 256412 282932 512824 565864 1025648 1131728 2051296 2263456 26829571 53659142 107318284 214636568 348784423 429273136 697568846 858546272 1395137692 2790275384 5580550768 11161101536