Search a number
-
+
5694218556 = 22313291578017
BaseRepresentation
bin1010100110110011…
…01110000100111100
3112200211200021101120
411103121232010330
543130204443211
62341010510540
7261052026165
oct52331560474
915624607346
105694218556
112462268754
12112ab95450
136c99255c0
143c037276c
15234d85d06
hex15366e13c

5694218556 has 96 divisors (see below), whose sum is σ = 14898085440. Its totient is φ = 1680666624.

The previous prime is 5694218513. The next prime is 5694218557. The reversal of 5694218556 is 6558124965.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5694218499 and 5694218508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5694218557) 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 31 ways as a sum of consecutive naturals, for example, 706260 + ... + 714276.

It is an arithmetic number, because the mean of its divisors is an integer number (155188390).

Almost surely, 25694218556 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 5694218556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449042720).

5694218556 is an abundant number, since it is smaller than the sum of its proper divisors (9203866884).

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

5694218556 is a wasteful number, since it uses less digits than its factorization.

5694218556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8221 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The square root of 5694218556 is about 75460.0460906300. The cubic root of 5694218556 is about 1785.7118368600.

The spelling of 5694218556 in words is "five billion, six hundred ninety-four million, two hundred eighteen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 157 174 314 348 377 471 628 754 942 1131 1508 1884 2041 2262 4082 4524 4553 6123 8017 8164 9106 12246 13659 16034 18212 24051 24492 27318 32068 48102 54636 59189 96204 104221 118378 177567 208442 232493 236756 312663 355134 416884 464986 625326 697479 710268 929972 1250652 1258669 1394958 2517338 2789916 3022409 3776007 5034676 6044818 7552014 9067227 12089636 15104028 16362697 18134454 32725394 36268908 36501401 49088091 65450788 73002802 98176182 109504203 146005604 196352364 219008406 438016812 474518213 949036426 1423554639 1898072852 2847109278 5694218556