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30728241880 = 23571728322811
BaseRepresentation
bin11100100111100010…
…111100001011011000
32221022111121102102121
4130213202330023120
51000412412220010
622041044511024
72135321514010
oct344742741330
987274542377
1030728241880
1112039322a26
125b569ab474
132b8921215b
1416b7054c40
15beca293da
hex7278bc2d8

30728241880 has 128 divisors (see below), whose sum is σ = 83962759680. Its totient is φ = 9880197120.

The previous prime is 30728241827. The next prime is 30728241883. The reversal of 30728241880 is 8814282703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30728241883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335675 + ... + 1358485.

It is an arithmetic number, because the mean of its divisors is an integer number (655959060).

Almost surely, 230728241880 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 30728241880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41981379840).

30728241880 is an abundant number, since it is smaller than the sum of its proper divisors (53234517800).

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

30728241880 is a wasteful number, since it uses less digits than its factorization.

30728241880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23129 (or 23125 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 30728241880 in words is "thirty billion, seven hundred twenty-eight million, two hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 283 340 476 566 595 680 952 1132 1190 1415 1981 2264 2380 2830 3962 4760 4811 5660 7924 9622 9905 11320 15848 19244 19810 22811 24055 33677 38488 39620 45622 48110 67354 79240 91244 96220 114055 134708 159677 168385 182488 192440 228110 269416 319354 336770 387787 456220 638708 673540 775574 798385 912440 1277416 1347080 1551148 1596770 1938935 2714509 3102296 3193540 3877870 5429018 6387080 6455513 7755740 10858036 12911026 13572545 15511480 21716072 25822052 27145090 32277565 45188591 51644104 54290180 64555130 90377182 108580360 109743721 129110260 180754364 219487442 225942955 258220520 361508728 438974884 451885910 548718605 768206047 877949768 903771820 1097437210 1536412094 1807543640 2194874420 3072824188 3841030235 4389748840 6145648376 7682060470 15364120940 30728241880