Search a number
-
+
2765865530010 = 235113312234447
BaseRepresentation
bin101000001111111010011…
…011101011001010011010
3100210102011220221211222110
4220033322123223022122
5330303443033430020
65514342053133150
7403553504045622
oct50177233531232
910712156854873
102765865530010
11976aa6a93000
1238806292a1b6
13170a87704cbb
1497c23651882
154be2e70c8e0
hex283fa6eb29a

2765865530010 has 128 divisors (see below), whose sum is σ = 7536918233088. Its totient is φ = 648883118400.

The previous prime is 2765865529937. The next prime is 2765865530011. The reversal of 2765865530010 is 100355685672.

It is not an unprimeable number, because it can be changed into a prime (2765865530011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 120607 + ... + 2355053.

It is an arithmetic number, because the mean of its divisors is an integer number (58882173696).

Almost surely, 22765865530010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765865530010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768459116544).

2765865530010 is an abundant number, since it is smaller than the sum of its proper divisors (4771052703078).

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

2765865530010 is a wasteful number, since it uses less digits than its factorization.

2765865530010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234521 (or 2234499 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 2765865530010 in words is "two trillion, seven hundred sixty-five billion, eight hundred sixty-five million, five hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 465 605 682 726 930 1023 1210 1331 1705 1815 2046 2662 3410 3630 3751 3993 5115 6655 7502 7986 10230 11253 13310 18755 19965 22506 37510 39930 41261 56265 82522 112530 123783 206305 247566 412610 618915 1237830 2234447 4468894 6703341 11172235 13406682 22344470 24578917 33516705 49157834 67033410 69267857 73736751 122894585 138535714 147473502 207803571 245789170 270368087 346339285 368683755 415607142 540736174 692678570 737367510 761946427 811104261 1039017855 1351840435 1523892854 1622208522 2078035710 2285839281 2703680870 2974048957 3809732135 4055521305 4571678562 5948097914 7619464270 8111042610 8381410697 8922146871 11429196405 14870244785 16762821394 17844293742 22858392810 25144232091 29740489570 41907053485 44610734355 50288464182 83814106970 89221468710 92195517667 125721160455 184391035334 251442320910 276586553001 460977588335 553173106002 921955176670 1382932765005 2765865530010