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42727595280 = 24351327134161
BaseRepresentation
bin100111110010110000…
…110101110100010000
311002021202111201210220
4213302300311310100
51200001231022110
631343452353040
73041554365426
oct476260656420
9132252451726
1042727595280
1117136682817
128345475780
13404c1ab576
1420d4945116
1511a11bd370
hex9f2c35d10

42727595280 has 80 divisors (see below), whose sum is σ = 132556349184. Its totient is φ = 11385354240.

The previous prime is 42727595263. The next prime is 42727595299. The reversal of 42727595280 is 8259572724.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×427275952802 (a number of 22 digits) contains 22 as substring.

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, 251400 + ... + 385560.

Almost surely, 242727595280 is an apocalyptic number.

42727595280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42727595280 is an abundant number, since it is smaller than the sum of its proper divisors (89828753904).

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

42727595280 is a wasteful number, since it uses less digits than its factorization.

42727595280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135504 (or 135498 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 42727595280 in words is "forty-two billion, seven hundred twenty-seven million, five hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1327 2654 3981 5308 6635 7962 10616 13270 15924 19905 21232 26540 31848 39810 53080 63696 79620 106160 134161 159240 268322 318480 402483 536644 670805 804966 1073288 1341610 1609932 2012415 2146576 2683220 3219864 4024830 5366440 6439728 8049660 10732880 16099320 32198640 178031647 356063294 534094941 712126588 890158235 1068189882 1424253176 1780316470 2136379764 2670474705 2848506352 3560632940 4272759528 5340949410 7121265880 8545519056 10681898820 14242531760 21363797640 42727595280