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42680501120 = 275199335117
BaseRepresentation
bin100111101111111101…
…001100001110000000
311002011110220002202202
4213233331030032000
51144402202013440
631335051132332
73040443162605
oct475775141600
9132143802682
1042680501120
1117112037224
1283317440a8
1340424cc9ba
1420cc5a66ac
15119beb9615
hex9eff4c380

42680501120 has 64 divisors (see below), whose sum is σ = 102546108000. Its totient is φ = 16986359808.

The previous prime is 42680501113. The next prime is 42680501141. The reversal of 42680501120 is 2110508624.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 40199 + ... + 294918.

Almost surely, 242680501120 is an apocalyptic number.

42680501120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42680501120 is an abundant number, since it is smaller than the sum of its proper divisors (59865606880).

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

42680501120 is a wasteful number, since it uses less digits than its factorization.

42680501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335335 (or 335323 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 42680501120 in words is "forty-two billion, six hundred eighty million, five hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 320 398 640 796 995 1592 1990 3184 3980 6368 7960 12736 15920 25472 31840 63680 127360 335117 670234 1340468 1675585 2680936 3351170 5361872 6702340 10723744 13404680 21447488 26809360 42894976 53618720 66688283 107237440 133376566 214474880 266753132 333441415 533506264 666882830 1067012528 1333765660 2134025056 2667531320 4268050112 5335062640 8536100224 10670125280 21340250560 42680501120