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331664469040 = 2453113127793
BaseRepresentation
bin1001101001110001011…
…11100010110000110000
31011201002021012201101201
410310320233202300300
520413222101002130
6412210424340544
732650645320532
oct4647057426060
91151067181351
10331664469040
11118726a45583
1254341914754
1325377cac918
14120a4663852
1589624bdbca
hex4d38be2c30

331664469040 has 120 divisors (see below), whose sum is σ = 802220333184. Its totient is φ = 127389849600.

The previous prime is 331664469011. The next prime is 331664469049. The reversal of 331664469040 is 40964466133.

It is a super-2 number, since 2×3316644690402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331664469049) 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, 42555384 + ... + 42563176.

Almost surely, 2331664469040 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 331664469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401110166592).

331664469040 is an abundant number, since it is smaller than the sum of its proper divisors (470555864144).

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

331664469040 is a wasteful number, since it uses less digits than its factorization.

331664469040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8099 (or 7962 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

The spelling of 331664469040 in words is "three hundred thirty-one billion, six hundred sixty-four million, four hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 131 155 248 262 310 496 524 620 655 1048 1240 1310 2096 2480 2620 4061 5240 7793 8122 10480 15586 16244 17161 20305 31172 32488 34322 38965 40610 62344 64976 68644 77930 81220 85805 124688 137288 155860 162440 171610 241583 274576 311720 324880 343220 483166 531991 623440 686440 966332 1020883 1063982 1207915 1372880 1932664 2041766 2127964 2415830 2659955 3865328 4083532 4255928 4831660 5104415 5319910 8167064 8511856 9663320 10208830 10639820 16334128 19326640 20417660 21279640 31647373 40835320 42559280 63294746 81670640 126589492 133735673 158236865 253178984 267471346 316473730 506357968 534942692 632947460 668678365 1069885384 1265894920 1337356730 2139770768 2531789840 2674713460 4145805863 5349426920 8291611726 10698853840 16583223452 20729029315 33166446904 41458058630 66332893808 82916117260 165832234520 331664469040