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641143511000 = 23533733751419
BaseRepresentation
bin10010101010001110010…
…00011001011111011000
32021021220101121222011222
421111013020121133120
541001030214323000
61210312014311212
764215063632066
oct11250710313730
92237811558158
10641143511000
112279a8885353
12a43117b8508
13485c88b63a5
1423062679036
1511a26e32a85
hex95472197d8

641143511000 has 128 divisors (see below), whose sum is σ = 1545426043200. Its totient is φ = 248780851200.

The previous prime is 641143510979. The next prime is 641143511003. The reversal of 641143511000 is 115341146.

It is a super-2 number, since 2×6411435110002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641143511003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12443291 + ... + 12494709.

Almost surely, 2641143511000 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 641143511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772713021600).

641143511000 is an abundant number, since it is smaller than the sum of its proper divisors (904282532200).

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

641143511000 is a wasteful number, since it uses less digits than its factorization.

641143511000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51814 (or 51800 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 641143511000 its reverse (115341146), we get a palindrome (641258852146).

The spelling of 641143511000 in words is "six hundred forty-one billion, one hundred forty-three million, five hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 337 370 500 674 740 925 1000 1348 1480 1685 1850 2696 3370 3700 4625 6740 7400 8425 9250 12469 13480 16850 18500 24938 33700 37000 42125 49876 51419 62345 67400 84250 99752 102838 124690 168500 205676 249380 257095 311725 337000 411352 498760 514190 623450 1028380 1246900 1285475 1558625 1902503 2056760 2493800 2570950 3117250 3805006 5141900 6234500 6427375 7610012 9512515 10283800 12469000 12854750 15220024 17328203 19025030 25709500 34656406 38050060 47562575 51419000 69312812 76100120 86641015 95125150 138625624 173282030 190250300 237812875 346564060 380500600 433205075 475625750 641143511 693128120 866410150 951251500 1282287022 1732820300 1902503000 2166025375 2564574044 3205717555 3465640600 4332050750 5129148088 6411435110 8664101500 12822870220 16028587775 17328203000 25645740440 32057175550 64114351100 80142938875 128228702200 160285877750 320571755500 641143511000