Search a number
-
+
54560536002 = 23271931197307
BaseRepresentation
bin110010110100000011…
…111011010111000010
312012211102021101220200
4302310003323113002
51343214444123002
641021553350030
73641026622040
oct626403732702
9165742241820
1054560536002
1121159000275
12a6a8268316
1351b685043b
1428d82b7390
151644e3eb1c
hexcb40fb5c2

54560536002 has 96 divisors (see below), whose sum is σ = 142277990400. Its totient is φ = 14761509984.

The previous prime is 54560536001. The next prime is 54560536013. The reversal of 54560536002 is 20063506545.

It is a happy number.

54560536002 is a `hidden beast` number, since 5 + 45 + 6 + 0 + 5 + 3 + 600 + 2 = 666.

54560536002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54560536001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7463233 + ... + 7470539.

It is an arithmetic number, because the mean of its divisors is an integer number (1482062400).

Almost surely, 254560536002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54560536002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71138995200).

54560536002 is an abundant number, since it is smaller than the sum of its proper divisors (87717454398).

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

54560536002 is a wasteful number, since it uses less digits than its factorization.

54560536002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10460 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 54560536002 in words is "fifty-four billion, five hundred sixty million, five hundred thirty-six thousand, two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 3119 6238 7307 9357 14614 18714 21833 21921 28071 43666 43842 51149 56142 59261 65499 65763 102298 118522 130998 131526 138833 153447 177783 196497 277666 306894 355566 392994 414827 416499 460341 533349 829654 832998 920682 971831 1066698 1244481 1249497 1943662 2488962 2498994 2915493 3733443 5830986 7466886 8746479 17492958 22790533 45581066 68371599 136743198 159533731 205114797 319067462 410229594 433020127 478601193 866040254 957202386 1299060381 1435803579 2598120762 2871607158 3031140889 3897181143 6062281778 7794362286 9093422667 18186845334 27280268001 54560536002