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631666733620 = 2251321069174821
BaseRepresentation
bin10010011000100100100…
…01010111001000110100
32020101102221101210120011
421030102101113020310
540322123140433440
61202103402150004
763431201434366
oct11142221271064
92211387353504
10631666733620
1122398544922a
12a2507ab2304
1347748422200
1422803bd4d36
151166ee789ea
hex9312457234

631666733620 has 72 divisors (see below), whose sum is σ = 1437739624440. Its totient is φ = 233011284480.

The previous prime is 631666733609. The next prime is 631666733623. The reversal of 631666733620 is 26337666136.

It can be written as a sum of positive squares in 12 ways, for example, as 561507438244 + 70159295376 = 749338^2 + 264876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631666733623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3525810 + ... + 3700630.

It is an arithmetic number, because the mean of its divisors is an integer number (19968605895).

Almost surely, 2631666733620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631666733620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718869812220).

631666733620 is an abundant number, since it is smaller than the sum of its proper divisors (806072890820).

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

631666733620 is a wasteful number, since it uses less digits than its factorization.

631666733620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175925 (or 175910 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 49.

The spelling of 631666733620 in words is "six hundred thirty-one billion, six hundred sixty-six million, seven hundred thirty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1069 1690 2138 3380 4276 5345 10690 13897 21380 27794 55588 69485 138970 174821 180661 277940 349642 361322 699284 722644 874105 903305 1748210 1806610 2272673 3496420 3613220 4545346 9090692 11363365 22726730 29544749 45453460 59089498 118178996 147723745 186883649 295447490 373767298 590894980 747534596 934418245 1868836490 2429487437 3737672980 4858974874 9717949748 12147437185 24294874370 31583336681 48589748740 63166673362 126333346724 157916683405 315833366810 631666733620