Search a number
-
+
5377538556 = 223213291013923
BaseRepresentation
bin1010000001000011…
…01011100111111100
3111212202210021002200
411000201223213330
542003122213211
62245335151500
7250155215655
oct50041534774
914782707080
105377538556
11230a531345
121060b15590
136791375a0
1439029a52c
1521717eb56
hex14086b9fc

5377538556 has 144 divisors (see below), whose sum is σ = 15297478560. Its totient is φ = 1581350400.

The previous prime is 5377538513. The next prime is 5377538563. The reversal of 5377538556 is 6558357735.

5377538556 is a `hidden beast` number, since 5 + 37 + 7 + 53 + 8 + 556 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1368811 + ... + 1372733.

It is an arithmetic number, because the mean of its divisors is an integer number (106232490).

Almost surely, 25377538556 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 5377538556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648739280).

5377538556 is an abundant number, since it is smaller than the sum of its proper divisors (9919940004).

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

5377538556 is a wasteful number, since it uses less digits than its factorization.

5377538556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4071 counting only the distinct ones).

The product of its digits is 13230000, while the sum is 54.

The square root of 5377538556 is about 73331.7022576184. The cubic root of 5377538556 is about 1751.9747564700.

The spelling of 5377538556 in words is "five billion, three hundred seventy-seven million, five hundred thirty-eight thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 101 116 117 156 174 202 234 261 303 348 377 404 468 522 606 754 909 1044 1131 1212 1313 1508 1818 2262 2626 2929 3393 3636 3923 3939 4524 5252 5858 6786 7846 7878 8787 11716 11769 11817 13572 15692 15756 17574 23538 23634 26361 35148 35307 38077 47076 47268 50999 52722 70614 76154 101998 105444 113767 114231 141228 152308 152997 203996 227534 228462 305994 341301 342693 396223 455068 456924 458991 611988 682602 685386 792446 917982 1023903 1188669 1365204 1370772 1478971 1584892 1835964 2047806 2377338 2957942 3566007 4095612 4436913 4754676 5150899 5915884 7132014 8873826 10301798 11490467 13310739 14264028 15452697 17747652 20603596 22980934 26621478 30905394 34471401 45961868 46358091 53242956 61810788 68942802 92716182 103414203 137885604 149376071 185432364 206828406 298752142 413656812 448128213 597504284 896256426 1344384639 1792512852 2688769278 5377538556