Search a number
-
+
5354405056 = 267111383579
BaseRepresentation
bin1001111110010010…
…11011110011000000
3111211011020221220101
410333021123303000
541431211430211
62243151252144
7246454456240
oct47711336300
914734227811
105354405056
1122a8470850
12105521a054
136743c7b20
1438b197b20
152151105c1
hex13f25bcc0

5354405056 has 112 divisors (see below), whose sum is σ = 14266103040. Its totient is φ = 1925637120.

The previous prime is 5354405047. The next prime is 5354405057. The reversal of 5354405056 is 6505044535.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5354405057) 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 15 ways as a sum of consecutive naturals, for example, 22275 + ... + 105853.

It is an arithmetic number, because the mean of its divisors is an integer number (127375920).

Almost surely, 25354405056 is an apocalyptic number.

5354405056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5354405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133051520).

5354405056 is an abundant number, since it is smaller than the sum of its proper divisors (8911697984).

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

5354405056 is a wasteful number, since it uses less digits than its factorization.

5354405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83622 (or 83612 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 37.

The square root of 5354405056 is about 73173.8003386458. The cubic root of 5354405056 is about 1749.4588864150.

The spelling of 5354405056 in words is "five billion, three hundred fifty-four million, four hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 16016 32032 64064 83579 167158 334316 585053 668632 919369 1086527 1170106 1337264 1838738 2173054 2340212 2674528 3677476 4346108 4680424 5349056 6435583 7354952 7605689 8692216 9360848 11951797 12871166 14709904 15211378 17384432 18721696 23903594 25742332 29419808 30422756 34768864 37443392 47807188 51484664 58839616 60845512 69537728 83662579 95614376 102969328 121691024 167325158 191228752 205938656 243382048 334650316 382457504 411877312 486764096 669300632 764915008 1338601264 2677202528 5354405056