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5513606144 = 2107017681
BaseRepresentation
bin1010010001010001…
…01111010000000000
3112020020211012201222
411020220233100000
542242440344034
62311035414212
7253426610324
oct51050572000
915206735658
105513606144
11237a3179a2
12109a5b4368
1369b398a57
143a4399984
152240ab12e
hex148a2f400

5513606144 has 44 divisors (see below), whose sum is σ = 11038987908. Its totient is φ = 2752512000.

The previous prime is 5513606129. The next prime is 5513606149. The reversal of 5513606144 is 4416063155.

It can be written as a sum of positive squares in 2 ways, for example, as 4341228544 + 1172377600 = 65888^2 + 34240^2 .

It is a super-2 number, since 2×55136061442 = 60799705422309097472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5513606149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 713984 + ... + 721664.

Almost surely, 25513606144 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 5513606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519493954).

5513606144 is an abundant number, since it is smaller than the sum of its proper divisors (5525381764).

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

5513606144 is an equidigital number, since it uses as much as digits as its factorization.

5513606144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8384 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 5513606144 is about 74253.6608121108. The cubic root of 5513606144 is about 1766.6285577318.

Adding to 5513606144 its reverse (4416063155), we get a palindrome (9929669299).

The spelling of 5513606144 in words is "five billion, five hundred thirteen million, six hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 701 1024 1402 2804 5608 7681 11216 15362 22432 30724 44864 61448 89728 122896 179456 245792 358912 491584 717824 983168 1966336 3932672 5384381 7865344 10768762 21537524 43075048 86150096 172300192 344600384 689200768 1378401536 2756803072 5513606144