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187428935484 = 223272751141481
BaseRepresentation
bin1010111010001110100…
…0101001011100111100
3122220210020121102220100
42232203220221130330
511032323301413414
6222034220321100
716353443444100
oct2564350513474
9586706542810
10187428935484
117254082538a
12303a96a3190
131489ca8036b
1491006cd900
154d1e9ee609
hex2ba3a2973c

187428935484 has 108 divisors (see below), whose sum is σ = 551868084768. Its totient is φ = 53479440000.

The previous prime is 187428935471. The next prime is 187428935501. The reversal of 187428935484 is 484539824781.

It is a happy number.

187428935484 is a `hidden beast` number, since 1 + 8 + 7 + 4 + 2 + 89 + 3 + 548 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1254024 + ... + 1395504.

Almost surely, 2187428935484 is an apocalyptic number.

187428935484 is a gapful number since it is divisible by the number (14) 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 187428935484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275934042384).

187428935484 is an abundant number, since it is smaller than the sum of its proper divisors (364439149284).

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

187428935484 is a wasteful number, since it uses less digits than its factorization.

187428935484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142256 (or 142244 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 187428935484 in words is "one hundred eighty-seven billion, four hundred twenty-eight million, nine hundred thirty-five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 751 882 1502 1764 2253 3004 4506 5257 6759 9012 10514 13518 15771 21028 27036 31542 36799 47313 63084 73598 94626 110397 141481 147196 189252 220794 282962 331191 424443 441588 565924 662382 848886 990367 1273329 1324764 1697772 1980734 2546658 2971101 3961468 5093316 5942202 6932569 8913303 11884404 13865138 17826606 20797707 27730276 35653212 41595414 62393121 83190828 106252231 124786242 212504462 249572484 318756693 425008924 637513386 743765617 956270079 1275026772 1487531234 1912540158 2231296851 2975062468 3825080316 4462593702 5206359319 6693890553 8925187404 10412718638 13387781106 15619077957 20825437276 26775562212 31238155914 46857233871 62476311828 93714467742 187428935484