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187427300112 = 24331347710081
BaseRepresentation
bin1010111010001110001…
…0011010001100010000
3122220210010112100121000
42232203202122030100
511032322342100422
6222034121302000
716353423523203
oct2564342321420
9586703470530
10187427300112
117253a908738
12303a9034900
131489c629ba0
1491003c593a
154d1e7c9cac
hex2ba389a310

187427300112 has 160 divisors (see below), whose sum is σ = 591697128960. Its totient is φ = 56442839040.

The previous prime is 187427300089. The next prime is 187427300129. The reversal of 187427300112 is 211003724781.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 91089 + ... + 618992.

It is an arithmetic number, because the mean of its divisors is an integer number (3698107056).

Almost surely, 2187427300112 is an apocalyptic number.

187427300112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187427300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295848564480).

187427300112 is an abundant number, since it is smaller than the sum of its proper divisors (404269828848).

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

187427300112 is a wasteful number, since it uses less digits than its factorization.

187427300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710158 (or 710146 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 187427300112 in words is "one hundred eighty-seven billion, four hundred twenty-seven million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 47 48 52 54 72 78 94 104 108 117 141 144 156 188 208 216 234 282 312 351 376 423 432 468 564 611 624 702 752 846 936 1128 1222 1269 1404 1692 1833 1872 2256 2444 2538 2808 3384 3666 4888 5076 5499 5616 6768 7332 9776 10152 10998 14664 16497 20304 21996 29328 32994 43992 65988 87984 131976 263952 710081 1420162 2130243 2840324 4260486 5680648 6390729 8520972 9231053 11361296 12781458 17041944 18462106 19172187 25562916 27693159 33373807 34083888 36924212 38344374 51125832 55386318 66747614 73848424 76688748 83079477 100121421 102251664 110772636 133495228 147696848 153377496 166158954 200242842 221545272 249238431 266990456 300364263 306754992 332317908 400485684 433859491 443090544 498476862 533980912 600728526 664635816 800971368 867718982 901092789 996953724 1201457052 1301578473 1329271632 1601942736 1735437964 1802185578 1993907448 2402914104 2603156946 3470875928 3604371156 3904735419 3987814896 4805828208 5206313892 6941751856 7208742312 7809470838 10412627784 11714206257 14417484624 15618941676 20825255568 23428412514 31237883352 46856825028 62475766704 93713650056 187427300112