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643425535456 = 2511101179101107
BaseRepresentation
bin10010101110011110010…
…01101000010111100000
32021111210102122211020021
421113033021220113200
541020213414113311
61211330254123224
764325453545444
oct11271711502740
92244712584207
10643425535456
11228969a39080
12a4849ab0514
13488a0606712
14231db788824
1511b0c453171
hex95cf2685e0

643425535456 has 96 divisors (see below), whose sum is σ = 1403395217280. Its totient is φ = 287949888000.

The previous prime is 643425535433. The next prime is 643425535481. The reversal of 643425535456 is 654535524346.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6313255 + ... + 6414361.

It is an arithmetic number, because the mean of its divisors is an integer number (14618700180).

Almost surely, 2643425535456 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 643425535456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701697608640).

643425535456 is an abundant number, since it is smaller than the sum of its proper divisors (759969681824).

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

643425535456 is a wasteful number, since it uses less digits than its factorization.

643425535456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101408 (or 101400 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 52.

The spelling of 643425535456 in words is "six hundred forty-three billion, four hundred twenty-five million, five hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 179 202 352 358 404 716 808 1111 1432 1616 1969 2222 2864 3232 3938 4444 5728 7876 8888 15752 17776 18079 31504 35552 36158 63008 72316 101107 144632 198869 202214 289264 397738 404428 578528 795476 808856 1112177 1590952 1617712 2224354 3181904 3235424 4448708 6363808 8897416 10211807 17794832 18098153 20423614 35589664 36196306 40847228 72392612 81694456 112329877 144785224 163388912 199079683 224659754 289570448 326777824 398159366 449319508 579140896 796318732 898639016 1592637464 1797278032 1827913453 3185274928 3594556064 3655826906 6370549856 7311653812 14623307624 20107047983 29246615248 40214095966 58493230496 80428191932 160856383864 321712767728 643425535456