Search a number
-
+
564750412880700 = 2235229152459425779
BaseRepresentation
bin1000000001101000110011001…
…1101111110001101100111100
32202001121121112021212221112110
42000122030303233301230330
51043010332321144140300
65321042431422334020
7226645604463355524
oct20032146357615474
92661547467787473
10564750412880700
11153a4633a070602
12534104b672a310
131b317973948957
149d660cc8c2684
1545456c3263550
hex201a333bf1b3c

564750412880700 has 144 divisors (see below), whose sum is σ = 1690371465552000. Its totient is φ = 145405707605760.

The previous prime is 564750412880677. The next prime is 564750412880701. The reversal of 564750412880700 is 7088214057465.

564750412880700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5647504128807002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564750412880701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326180411 + ... + 1326606189.

It is an arithmetic number, because the mean of its divisors is an integer number (11738690733000).

Almost surely, 2564750412880700 is an apocalyptic number.

564750412880700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564750412880700 is an abundant number, since it is smaller than the sum of its proper divisors (1125621052671300).

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

564750412880700 is a wasteful number, since it uses less digits than its factorization.

564750412880700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578284 (or 578277 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 564750412880700 in words is "five hundred sixty-four trillion, seven hundred fifty billion, four hundred twelve million, eight hundred eighty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 152459 304918 425779 457377 609836 762295 851558 914754 1277337 1524590 1703116 1829508 2128895 2286885 2554674 3049180 3811475 4257790 4421311 4573770 5109348 6386685 7622950 8515580 8842622 9147540 10644475 11434425 12347591 12773370 13263933 15245900 17685244 21288950 22106555 22868850 24695182 25546740 26527866 31933425 37042773 42577900 44213110 45737700 49390364 53055732 61737955 63866850 66319665 74085546 88426220 110532775 123475910 127733700 132639330 148171092 185213865 221065550 246951820 265278660 308689775 331598325 370427730 442131100 617379550 663196650 740855460 926069325 1234759100 1326393300 1852138650 3704277300 64913840561 129827681122 194741521683 259655362244 324569202805 389483043366 649138405610 778966086732 973707608415 1298276811220 1622846014025 1882501376269 1947415216830 3245692028050 3765002752538 3894830433660 4868538042075 5647504128807 6491384056100 7530005505076 9412506881345 9737076084150 11295008257614 18825013762690 19474152168300 22590016515228 28237520644035 37650027525380 47062534406725 56475041288070 94125068813450 112950082576140 141187603220175 188250137626900 282375206440350 564750412880700