Search a number
-
+
46540463004 = 22337411501499
BaseRepresentation
bin101011010110000001…
…110001101110011100
311110010111002111001000
4223112001301232130
51230303324304004
633214055350300
73235213260030
oct532601615634
9143114074030
1046540463004
1118812972772
12902a382390
1345090cc909
1423770a61c0
151325ccbc39
hexad6071b9c

46540463004 has 96 divisors (see below), whose sum is σ = 141261120000. Its totient is φ = 12972942720.

The previous prime is 46540462973. The next prime is 46540463041. The reversal of 46540463004 is 40036404564.

46540463004 is a `hidden beast` number, since 46 + 540 + 46 + 30 + 0 + 4 = 666.

46540463004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46540463004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719754 + ... + 781745.

It is an arithmetic number, because the mean of its divisors is an integer number (1471470000).

Almost surely, 246540463004 is an apocalyptic number.

It is an amenable number.

46540463004 is an abundant number, since it is smaller than the sum of its proper divisors (94720656996).

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

46540463004 is a wasteful number, since it uses less digits than its factorization.

46540463004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501560 (or 1501552 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 46540463004 its reverse (40036404564), we get a palindrome (86576867568).

The spelling of 46540463004 in words is "forty-six billion, five hundred forty million, four hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 492 574 738 756 861 1107 1148 1476 1722 2214 2583 3444 4428 5166 7749 10332 15498 30996 1501499 3002998 4504497 6005996 9008994 10510493 13513491 18017988 21020986 27026982 31531479 40540473 42041972 54053964 61561459 63062958 81080946 94594437 123122918 126125916 162161892 184684377 189188874 246245836 283783311 369368754 378377748 430930213 554053131 567566622 738737508 861860426 1108106262 1135133244 1292790639 1662159393 1723720852 2216212524 2585581278 3324318786 3878371917 5171162556 6648637572 7756743834 11635115751 15513487668 23270231502 46540463004