Search a number
-
+
1530668766810 = 2353753144717981
BaseRepresentation
bin10110010001100010111…
…101111101011001011010
312102022220221022220200210
4112101202331331121122
5200034302201014220
63131102435511550
7215405253562611
oct26214275753132
95368827286623
101530668766810
11540175683867
122087a1a585b6
13b14592036c1
145412883c878
1529c39a766e0
hex16462f7d65a

1530668766810 has 128 divisors (see below), whose sum is σ = 3846948816384. Its totient is φ = 389362222080.

The previous prime is 1530668766727. The next prime is 1530668766821. The reversal of 1530668766810 is 186678660351.

It is a super-2 number, since 2×15306687668102 (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 85118020 + ... + 85136000.

It is an arithmetic number, because the mean of its divisors is an integer number (30054287628).

Almost surely, 21530668766810 is an apocalyptic number.

1530668766810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530668766810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923474408192).

1530668766810 is an abundant number, since it is smaller than the sum of its proper divisors (2316280049574).

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

1530668766810 is a wasteful number, since it uses less digits than its factorization.

1530668766810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19528.

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 1530668766810 in words is "one trillion, five hundred thirty billion, six hundred sixty-eight million, seven hundred sixty-six thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 53 74 106 111 159 185 222 265 318 370 530 555 795 1110 1447 1590 1961 2894 3922 4341 5883 7235 8682 9805 11766 14470 17981 19610 21705 29415 35962 43410 53539 53943 58830 76691 89905 107078 107886 153382 160617 179810 230073 267695 269715 321234 383455 460146 535390 539430 665297 766910 803085 952993 1150365 1330594 1606170 1905986 1995891 2300730 2837567 2858979 3326485 3991782 4764965 5675134 5717958 6652970 8512701 9529930 9979455 14187835 14294895 17025402 19958910 26018507 28375670 28589790 35260741 42563505 52037014 70521482 78055521 85127010 105782223 130092535 156111042 176303705 211564446 260185070 352607410 390277605 528911115 780555210 962684759 1057822230 1378980871 1925369518 2757961742 2888054277 4136942613 4813423795 5776108554 6894904355 8273885226 9626847590 13789808710 14440271385 20684713065 28880542770 41369426130 51022292227 102044584454 153066876681 255111461135 306133753362 510222922270 765334383405 1530668766810