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42078560640 = 273521915917
BaseRepresentation
bin100111001100000100…
…111110000110000000
311000121112020100122220
4213030010332012000
51142134102420030
631155225331040
73016513602234
oct471404760600
9130545210586
1042078560640
1116933283456
1281a4036a80
133c778a4abc
1420726765c4
151164216a10
hex9cc13e180

42078560640 has 64 divisors (see below), whose sum is σ = 134125418160. Its totient is φ = 11220948992.

The previous prime is 42078560639. The next prime is 42078560687. The reversal of 42078560640 is 4606587024.

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

It is a junction number, because it is equal to n+sod(n) for n = 42078560592 and 42078560601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10956039 + ... + 10959878.

Almost surely, 242078560640 is an apocalyptic number.

42078560640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42078560640 is an abundant number, since it is smaller than the sum of its proper divisors (92046857520).

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

42078560640 is a wasteful number, since it uses less digits than its factorization.

42078560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21915939 (or 21915927 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 42078560640 in words is "forty-two billion, seventy-eight million, five hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 21915917 43831834 65747751 87663668 109579585 131495502 175327336 219159170 262991004 328738755 350654672 438318340 525982008 657477510 701309344 876636680 1051964016 1314955020 1402618688 1753273360 2103928032 2629910040 2805237376 3506546720 4207856064 5259820080 7013093440 8415712128 10519640160 14026186880 21039280320 42078560640