Search a number
-
+
4563993654 = 2331110374597
BaseRepresentation
bin1000100000000100…
…10000010000110110
3102210001221220022000
410100002100100312
533321340244104
62032514120130
7221046206643
oct42002202066
912701856260
104563993654
111a32289a90
12a74580046
1357972147c
14314206dca
151baa2e639
hex110090436

4563993654 has 64 divisors (see below), whose sum is σ = 11171796480. Its totient is φ = 1369582560.

The previous prime is 4563993647. The next prime is 4563993677.

4563993654 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4563993654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23884 + ... + 98480.

It is an arithmetic number, because the mean of its divisors is an integer number (174559320).

Almost surely, 24563993654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4563993654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585898240).

4563993654 is an abundant number, since it is smaller than the sum of its proper divisors (6607802826).

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

4563993654 is a wasteful number, since it uses less digits than its factorization.

4563993654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74722 (or 74716 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 4563993654 is about 67557.3360487223. The cubic root of 4563993654 is about 1658.7528317978.

The spelling of 4563993654 in words is "four billion, five hundred sixty-three million, nine hundred ninety-three thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 198 206 297 309 594 618 927 1133 1854 2266 2781 3399 5562 6798 10197 20394 30591 61182 74597 149194 223791 447582 671373 820567 1342746 1641134 2014119 2461701 4028238 4923402 7385103 7683491 14770206 15366982 22155309 23050473 44310618 46100946 69151419 84518401 138302838 169036802 207454257 253555203 414908514 507110406 760665609 1521331218 2281996827 4563993654