Search a number
-
+
1078172761530 = 235475637191889
BaseRepresentation
bin11111011000010000001…
…10101011110110111010
310211001221201021011112010
433230020012223312322
5120131044211332110
62143150012030350
7140616061155534
oct17541006536672
93731851234463
101078172761530
11386283463737
12154b59a623b6
137a895994557
143a280658854
151d0a45eb020
hexfb081abdba

1078172761530 has 128 divisors (see below), whose sum is σ = 2652449587200. Its totient is φ = 280356460544.

The previous prime is 1078172761513. The next prime is 1078172761621. The reversal of 1078172761530 is 351672718701.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1078172761530.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 570762826 + ... + 570764714.

It is an arithmetic number, because the mean of its divisors is an integer number (20722262400).

Almost surely, 21078172761530 is an apocalyptic number.

1078172761530 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 1078172761530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326224793600).

1078172761530 is an abundant number, since it is smaller than the sum of its proper divisors (1574276825670).

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

1078172761530 is a wasteful number, since it uses less digits than its factorization.

1078172761530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228.

The product of its (nonzero) digits is 493920, while the sum is 48.

The spelling of 1078172761530 in words is "one trillion, seventy-eight billion, one hundred seventy-two million, seven hundred sixty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 563 705 719 1126 1410 1438 1689 1889 2157 2815 3378 3595 3778 4314 5630 5667 7190 8445 9445 10785 11334 16890 18890 21570 26461 28335 33793 52922 56670 67586 79383 88783 101379 132305 158766 168965 177566 202758 264610 266349 337930 396915 404797 443915 506895 532698 793830 809594 887830 1013790 1063507 1214391 1331745 1358191 2023985 2127014 2428782 2663490 2716382 3190521 4047970 4074573 5317535 6071955 6381042 6790955 8149146 10635070 12143910 13581910 15952605 19025459 20372865 31905210 38050918 40745730 49984829 57076377 63834977 95127295 99969658 114152754 127669954 149954487 190254590 191504931 249924145 285381885 299908974 319174885 383009862 499848290 570763770 638349770 749772435 764661533 957524655 1499544870 1529323066 1915049310 2293984599 3823307665 4587969198 7646615330 11469922995 22939845990 35939092051 71878184102 107817276153 179695460255 215634552306 359390920510 539086380765 1078172761530