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5661061056 = 26337468011
BaseRepresentation
bin1010100010110110…
…01110111111000000
3112121112021200212000
411101123032333000
543043212423211
62333424104000
7260200140120
oct52133167700
915545250760
105661061056
112445580a62
12111ba65000
136c2ab6391
143b9bc0c80
15231ed6656
hex1516cefc0

5661061056 has 112 divisors (see below), whose sum is σ = 19020007680. Its totient is φ = 1617442560.

The previous prime is 5661061051. The next prime is 5661061097. The reversal of 5661061056 is 6501601665.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×56610610562 = 64095224559519670272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5661061056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5661061051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221910 + ... + 246101.

Almost surely, 25661061056 is an apocalyptic number.

5661061056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5661061056 is an abundant number, since it is smaller than the sum of its proper divisors (13358946624).

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

5661061056 is a wasteful number, since it uses less digits than its factorization.

5661061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468039 (or 468023 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5661061056 is about 75240.0229665037. The cubic root of 5661061056 is about 1782.2390138428.

The spelling of 5661061056 in words is "five billion, six hundred sixty-one million, sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 468011 936022 1404033 1872044 2808066 3276077 3744088 4212099 5616132 6552154 7488176 8424198 9828231 11232264 12636297 13104308 14976352 16848396 19656462 22464528 25272594 26208616 29484693 29952704 33696792 39312924 44929056 50545188 52417232 58969386 67393584 78625848 88454079 89858112 101090376 104834464 117938772 134787168 157251696 176908158 202180752 209668928 235877544 269574336 314503392 353816316 404361504 471755088 629006784 707632632 808723008 943510176 1415265264 1887020352 2830530528 5661061056