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128200780540 = 22572236193241
BaseRepresentation
bin111011101100101011…
…1001010101011111100
3110020220112101102112001
41313121113022223330
54100023344434130
6134521123352044
712155635440400
oct1673127125374
9406815342461
10128200780540
114a407aa89a8
1220a1a222624
13c1211c8b31
1462c2557100
153504e116ca
hex1dd95caafc

128200780540 has 144 divisors (see below), whose sum is σ = 332153365824. Its totient is φ = 41353804800.

The previous prime is 128200780537. The next prime is 128200780627. The reversal of 128200780540 is 45087002821.

It is a self number, because there is not a number n which added to its sum of digits gives 128200780540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328320 + ... + 1421560.

It is an arithmetic number, because the mean of its divisors is an integer number (2306620596).

Almost surely, 2128200780540 is an apocalyptic number.

128200780540 is a gapful number since it is divisible by the number (10) 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 128200780540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166076682912).

128200780540 is an abundant number, since it is smaller than the sum of its proper divisors (203952585284).

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

128200780540 is a wasteful number, since it uses less digits than its factorization.

128200780540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93348 (or 93339 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 128200780540 in words is "one hundred twenty-eight billion, two hundred million, seven hundred eighty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 61 70 92 98 115 122 140 161 196 230 244 245 305 322 427 460 490 610 644 805 854 980 1127 1220 1403 1610 1708 2135 2254 2806 2989 3220 4270 4508 5612 5635 5978 7015 8540 9821 11270 11956 14030 14945 19642 22540 28060 29890 39284 49105 59780 68747 93241 98210 137494 186482 196420 274988 343735 372964 466205 652687 687470 932410 1305374 1374940 1864820 2144543 2610748 3263435 4289086 4568809 5687701 6526870 8578172 9137618 10722715 11375402 13053740 15011801 18275236 21445430 22750804 22844045 28438505 30023602 39813907 42890860 45688090 56877010 60047204 75059005 79627814 91376180 105082607 113754020 130817123 150118010 159255628 199069535 210165214 261634246 278697349 300236020 398139070 420330428 523268492 525413035 557394698 654085615 796278140 915719861 1050826070 1114789396 1308171230 1393486745 1831439722 2101652140 2616342460 2786973490 3662879444 4578599305 5573946980 6410039027 9157198610 12820078054 18314397220 25640156108 32050195135 64100390270 128200780540