Search a number
-
+
5555410542 = 2331143263827
BaseRepresentation
bin1010010110010000…
…01101011001101110
3112100011111002121000
411023020031121232
542334141114132
62315131421130
7254445132123
oct51310153156
915304432530
105555410542
1123a0980190
1210b05b47a6
136a6c44996
143a9b5c74a
15227ab787c
hex14b20d66e

5555410542 has 128 divisors (see below), whose sum is σ = 13849989120. Its totient is φ = 1636074720.

The previous prime is 5555410541. The next prime is 5555410573. The reversal of 5555410542 is 2450145555.

5555410542 is a `hidden beast` number, since 5 + 55 + 54 + 10 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5555410497 and 5555410506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5555410541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6717133 + ... + 6717959.

It is an arithmetic number, because the mean of its divisors is an integer number (108203040).

Almost surely, 25555410542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5555410542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924994560).

5555410542 is an abundant number, since it is smaller than the sum of its proper divisors (8294578578).

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

5555410542 is a wasteful number, since it uses less digits than its factorization.

5555410542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The square root of 5555410542 is about 74534.6264631413. The cubic root of 5555410542 is about 1771.0822051805.

The spelling of 5555410542 in words is "five billion, five hundred fifty-five million, four hundred ten thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 263 297 387 473 526 594 774 789 827 946 1161 1419 1578 1654 2322 2367 2481 2838 2893 4257 4734 4962 5786 7101 7443 8514 8679 9097 11309 12771 14202 14886 17358 18194 22329 22618 25542 26037 27291 33927 35561 44658 52074 54582 67854 71122 78111 81873 101781 106683 124399 156222 163746 203562 213366 217501 245619 248798 305343 320049 373197 391171 435002 491238 610686 640098 652503 746394 782342 960147 1119591 1173513 1305006 1920294 1957509 2239182 2347026 2392511 3358773 3520539 3915018 4785022 5872527 6717546 7041078 7177533 9352543 10561617 11745054 14355066 18705086 21123234 21532599 28057629 43065198 56115258 64597797 84172887 102877973 129195594 168345774 205755946 252518661 308633919 505037322 617267838 925901757 1851803514 2777705271 5555410542