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640204822818 = 2331131281123727
BaseRepresentation
bin10010101000011110010…
…11100101100100100010
32021012110222022200002000
421110033023211210202
540442114413312233
61210034523104430
764152605130621
oct11241713454442
92235428280060
10640204822818
11227566a28aa0
12a40ab372116
13484a92952b2
1422db3b2b6b8
15119be812d13
hex950f2e5922

640204822818 has 128 divisors (see below), whose sum is σ = 1607790919680. Its totient is φ = 187073712000.

The previous prime is 640204822799. The next prime is 640204822847. The reversal of 640204822818 is 818228402046.

640204822818 is a `hidden beast` number, since 6 + 402 + 0 + 4 + 8 + 228 + 18 = 666.

It is a super-3 number, since 3×6402048228183 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5112471 + ... + 5236197.

It is an arithmetic number, because the mean of its divisors is an integer number (12560866560).

Almost surely, 2640204822818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640204822818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803895459840).

640204822818 is an abundant number, since it is smaller than the sum of its proper divisors (967586096862).

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

640204822818 is a wasteful number, since it uses less digits than its factorization.

640204822818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124061 (or 124055 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 640204822818 in words is "six hundred forty billion, two hundred four million, eight hundred twenty-two thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 281 297 341 558 562 594 682 837 843 1023 1674 1686 2046 2529 3069 3091 5058 6138 6182 7587 8711 9207 9273 15174 17422 18414 18546 26133 27819 52266 55638 78399 83457 95821 123727 156798 166914 191642 235197 247454 287463 371181 470394 574926 742362 862389 1113543 1360997 1724778 2227086 2587167 2721994 3340629 3835537 4082991 5174334 6681258 7671074 8165982 11506611 12248973 23013222 24497946 34519833 34767287 36746919 42190907 69039666 69534574 73493838 84381814 103559499 104301861 126572721 207118998 208603722 253145442 312905583 379718163 382440157 625811166 759436326 764880314 938716749 1077785897 1139154489 1147320471 1877433498 2155571794 2278308978 2294640942 3233357691 3441961413 6466715382 6883922826 9700073073 10325884239 11855644867 19400146146 20651768478 23711289734 29100219219 35566934601 58200438438 71133869202 106700803803 213401607606 320102411409 640204822818