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561642631152 = 243472391041653
BaseRepresentation
bin10000010110001001000…
…00100110111111110000
31222200200211200211022120
420023010200212333300
533200221003144102
61110003130434240
755402012411221
oct10130440467760
91880624624276
10561642631152
111a7211694669
1290a24b92980
1340c68cb9055
141d27dd07248
15e9226a66bc
hex82c4826ff0

561642631152 has 80 divisors (see below), whose sum is σ = 1487981905920. Its totient is φ = 182464097536.

The previous prime is 561642631141. The next prime is 561642631183. The reversal of 561642631152 is 251136246165.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18358 + ... + 1060010.

It is an arithmetic number, because the mean of its divisors is an integer number (18599773824).

Almost surely, 2561642631152 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 561642631152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743990952960).

561642631152 is an abundant number, since it is smaller than the sum of its proper divisors (926339274768).

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

561642631152 is a wasteful number, since it uses less digits than its factorization.

561642631152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041950 (or 1041944 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 561642631152 in words is "five hundred sixty-one billion, six hundred forty-two million, six hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 239 282 376 478 564 717 752 956 1128 1434 1912 2256 2868 3824 5736 11233 11472 22466 33699 44932 67398 89864 134796 179728 269592 539184 1041653 2083306 3124959 4166612 6249918 8333224 12499836 16666448 24999672 48957691 49999344 97915382 146873073 195830764 248955067 293746146 391661528 497910134 587492292 746865201 783323056 995820268 1174984584 1493730402 1991640536 2349969168 2987460804 3983281072 5974921608 11700888149 11949843216 23401776298 35102664447 46803552596 70205328894 93607105192 140410657788 187214210384 280821315576 561642631152