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6339432685040 = 2457131741500173
BaseRepresentation
bin101110001000000001110…
…1000100001110111110000
3211110001011222000112022122
41130100003220201313300
51312331124231410130
621252143431253412
71223003023506050
oct134200350416760
924401158015278
106339432685040
1120245a1533654
1286475b21a268
1336ca6284a520
1417cb8a023560
15aed8341a2e5
hex5c403a21df0

6339432685040 has 160 divisors (see below), whose sum is σ = 18150986345856. Its totient is φ = 2005169541120.

The previous prime is 6339432685039. The next prime is 6339432685057. The reversal of 6339432685040 is 405862349336.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12424394 + ... + 12924566.

Almost surely, 26339432685040 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 6339432685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9075493172928).

6339432685040 is an abundant number, since it is smaller than the sum of its proper divisors (11811553660816).

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

6339432685040 is a wasteful number, since it uses less digits than its factorization.

6339432685040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501947 (or 501941 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 53.

The spelling of 6339432685040 in words is "six trillion, three hundred thirty-nine billion, four hundred thirty-two million, six hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1741 1820 3482 3640 6964 7280 8705 12187 13928 17410 22633 24374 27856 34820 45266 48748 60935 69640 90532 97496 113165 121870 139280 158431 181064 194992 226330 243740 316862 362128 452660 487480 500173 633724 792155 905320 974960 1000346 1267448 1584310 1810640 2000692 2500865 2534896 3168620 3501211 4001384 5001730 6337240 6502249 7002422 8002768 10003460 12674480 13004498 14004844 17506055 20006920 26008996 28009688 32511245 35012110 40013840 45515743 52017992 56019376 65022490 70024220 91031486 104035984 130044980 140048440 182062972 227578715 260089960 280096880 364125944 455157430 520179920 728251888 870801193 910314860 1741602386 1820629720 3483204772 3641259440 4354005965 6095608351 6966409544 8708011930 11320415509 12191216702 13932819088 17416023860 22640831018 24382433404 30478041755 34832047720 45281662036 48764866808 56602077545 60956083510 69664095440 79242908563 90563324072 97529733616 113204155090 121912167020 158485817126 181126648144 226408310180 243824334040 316971634252 396214542815 452816620360 487648668080 633943268504 792429085630 905633240720 1267886537008 1584858171260 3169716342520 6339432685040