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645244554042 = 233111518238741
BaseRepresentation
bin10010110001110111001…
…00101000101100111010
32021200111012110112122000
421120323210220230322
541032430101212132
61212230554041430
764421522133564
oct11307344505472
92250435415560
10645244554042
11229712802720
12a5077119276
1348b0042528a
14233311b2334
1511bb6eb687c
hex963b928b3a

645244554042 has 128 divisors (see below), whose sum is σ = 1576681943040. Its totient is φ = 193975560000.

The previous prime is 645244554013. The next prime is 645244554049. The reversal of 645244554042 is 240455442546.

645244554042 is a `hidden beast` number, since 6 + 4 + 5 + 24 + 45 + 540 + 42 = 666.

645244554042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (645244554049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73813792 + ... + 73822532.

It is an arithmetic number, because the mean of its divisors is an integer number (12317827680).

Almost surely, 2645244554042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645244554042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788340971520).

645244554042 is an abundant number, since it is smaller than the sum of its proper divisors (931437388998).

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

645244554042 is a wasteful number, since it uses less digits than its factorization.

645244554042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9737 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 645244554042 its reverse (240455442546), we get a palindrome (885699996588).

The spelling of 645244554042 in words is "six hundred forty-five billion, two hundred forty-four million, five hundred fifty-four thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 151 198 297 302 453 594 823 906 1359 1646 1661 2469 2718 3322 4077 4938 4983 7407 8154 8741 9053 9966 14814 14949 17482 18106 22221 26223 27159 29898 44442 44847 52446 54318 78669 81477 89694 96151 124273 157338 162954 192302 236007 244431 248546 288453 372819 472014 488862 576906 745638 865359 1118457 1319891 1367003 1730718 2236914 2596077 2639782 2734006 3355371 3959673 4101009 5192154 6710742 7193843 7919346 8202018 11879019 12303027 14387686 14518801 21581529 23758038 24606054 29037602 35637057 36909081 43163058 43556403 64744587 71274114 73818162 79132273 87112806 129489174 130669209 158264546 194233761 237396819 261338418 388467522 392007627 474793638 712190457 784015254 1086270293 1424380914 2136571371 2172540586 3258810879 4273142742 6517621758 9776432637 11948973223 19552865274 23897946446 29329297911 35846919669 58658595822 71693839338 107540759007 215081518014 322622277021 645244554042