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5442103656 = 23321113152453
BaseRepresentation
bin1010001000101111…
…11110100101101000
3112001021021111202200
411010113332211220
542121134304111
62300003100200
7251601055263
oct50427764550
915037244680
105442103656
112342a20030
12107a671660
136896223a2
14398aa5cda
1521cb85256
hex1445fe968

5442103656 has 96 divisors (see below), whose sum is σ = 16201991520. Its totient is φ = 1636502400.

The previous prime is 5442103643. The next prime is 5442103673. The reversal of 5442103656 is 6563012445.

5442103656 is a `hidden beast` number, since 544 + 2 + 103 + 6 + 5 + 6 = 666.

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 5442103656.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77526 + ... + 129978.

It is an arithmetic number, because the mean of its divisors is an integer number (168770745).

Almost surely, 25442103656 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 5442103656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8100995760).

5442103656 is an abundant number, since it is smaller than the sum of its proper divisors (10759887864).

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

5442103656 is a wasteful number, since it uses less digits than its factorization.

5442103656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52607 (or 52600 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5442103656 is about 73770.6151255363. The cubic root of 5442103656 is about 1758.9585410476.

The spelling of 5442103656 in words is "five billion, four hundred forty-two million, one hundred three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 131 132 198 262 264 393 396 524 786 792 1048 1179 1441 1572 2358 2882 3144 4323 4716 5764 8646 9432 11528 12969 17292 25938 34584 51876 52453 103752 104906 157359 209812 314718 419624 472077 576983 629436 944154 1153966 1258872 1730949 1888308 2307932 3461898 3776616 4615864 5192847 6871343 6923796 10385694 13742686 13847592 20614029 20771388 27485372 41228058 41542776 54970744 61842087 75584773 82456116 123684174 151169546 164912232 226754319 247368348 302339092 453508638 494736696 604678184 680262957 907017276 1360525914 1814034552 2721051828 5442103656