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640193831784 = 2332132812434049
BaseRepresentation
bin10010101000011101000…
…01101010001101101000
32021012110012122021012200
421110032201222031220
540442104110104114
61210033451340200
764152412533033
oct11241641521550
92235405567180
10640193831784
112275608012a1
12a40a7751660
13484a6c17620
1422db24aa01a
15119bd891409
hex950e86a368

640193831784 has 96 divisors (see below), whose sum is σ = 1873877733000. Its totient is φ = 196281630720.

The previous prime is 640193831677. The next prime is 640193831801. The reversal of 640193831784 is 487138391046.

640193831784 is a `hidden beast` number, since 6 + 401 + 93 + 83 + 1 + 78 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585821852100 + 54371979684 = 765390^2 + 233178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 640193831784.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 954009 + ... + 1480040.

Almost surely, 2640193831784 is an apocalyptic number.

It is an amenable number.

640193831784 is an abundant number, since it is smaller than the sum of its proper divisors (1233683901216).

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

640193831784 is a wasteful number, since it uses less digits than its factorization.

640193831784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434355 (or 2434348 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 640193831784 in words is "six hundred forty billion, one hundred ninety-three million, eight hundred thirty-one thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 281 312 468 562 843 936 1124 1686 2248 2529 3372 3653 5058 6744 7306 10116 10959 14612 20232 21918 29224 32877 43836 65754 87672 131508 263016 2434049 4868098 7302147 9736196 14604294 19472392 21906441 29208588 31642637 43812882 58417176 63285274 87625764 94927911 126570548 175251528 189855822 253141096 284783733 379711644 569567466 683967769 759423288 1139134932 1367935538 2051903307 2278269864 2735871076 4103806614 5471742152 6155709921 8207613228 8891580997 12311419842 16415226456 17783161994 24622839684 26674742991 35566323988 49245679368 53349485982 71132647976 80024228973 106698971964 160048457946 213397943928 320096915892 640193831784