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42780147720 = 23351033679431
BaseRepresentation
bin100111110101111001…
…010100000000001000
311002102102101200012120
4213311321110000020
51200103204211340
631353011011240
73043063153512
oct476571240010
9132372350176
1042780147720
1117163307192
12835ab99b20
13405a04b69b
1420db904bb2
1511a5aee4d0
hex9f5e54008

42780147720 has 128 divisors (see below), whose sum is σ = 129953341440. Its totient is φ = 11265304320.

The previous prime is 42780147701. The next prime is 42780147757. The reversal of 42780147720 is 2774108724.

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, 4531405 + ... + 4540835.

It is an arithmetic number, because the mean of its divisors is an integer number (1015260480).

Almost surely, 242780147720 is an apocalyptic number.

42780147720 is a gapful number since it is divisible by the number (40) 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 42780147720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64976670720).

42780147720 is an abundant number, since it is smaller than the sum of its proper divisors (87173193720).

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

42780147720 is a wasteful number, since it uses less digits than its factorization.

42780147720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9915 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 42.

The spelling of 42780147720 in words is "forty-two billion, seven hundred eighty million, one hundred forty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 367 412 515 618 734 824 1030 1101 1236 1468 1545 1835 2060 2202 2472 2936 3090 3670 4120 4404 5505 6180 7340 8808 9431 11010 12360 14680 18862 22020 28293 37724 37801 44040 47155 56586 75448 75602 94310 113172 113403 141465 151204 188620 189005 226344 226806 282930 302408 377240 378010 453612 565860 567015 756020 907224 971393 1131720 1134030 1512040 1942786 2268060 2914179 3461177 3885572 4536120 4856965 5828358 6922354 7771144 9713930 10383531 11656716 13844708 14570895 17305885 19427860 20767062 23313432 27689416 29141790 34611770 38855720 41534124 51917655 58283580 69223540 83068248 103835310 116567160 138447080 207670620 356501231 415341240 713002462 1069503693 1426004924 1782506155 2139007386 2852009848 3565012310 4278014772 5347518465 7130024620 8556029544 10695036930 14260049240 21390073860 42780147720