Search a number
-
+
640409730012 = 2232131368396859
BaseRepresentation
bin10010101000110110110…
…01001111101111011100
32021020000020220000220100
421110123121033233130
540443024342330022
61210111123021100
764160643613653
oct11243331175734
92236006800810
10640409730012
11227661662888
12a4147b0a790
134850c87a060
1422dd302a19a
15119d27db1ac
hex951b64fbdc

640409730012 has 36 divisors (see below), whose sum is σ = 1743337599640. Its totient is φ = 197049147552.

The previous prime is 640409730011. The next prime is 640409730017. The reversal of 640409730012 is 210037904046.

640409730012 is a `hidden beast` number, since 640 + 4 + 0 + 9 + 7 + 3 + 0 + 0 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640409730011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684197962 + ... + 684198897.

Almost surely, 2640409730012 is an apocalyptic number.

It is an amenable number.

640409730012 is an abundant number, since it is smaller than the sum of its proper divisors (1102927869628).

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

640409730012 is a wasteful number, since it uses less digits than its factorization.

640409730012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368396882 (or 1368396877 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 640409730012 in words is "six hundred forty billion, four hundred nine million, seven hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1368396859 2736793718 4105190577 5473587436 8210381154 12315571731 16420762308 17789159167 24631143462 35578318334 49262286924 53367477501 71156636668 106734955002 160102432503 213469910004 320204865006 640409730012