Search a number
-
+
491371783680 = 2935215329717
BaseRepresentation
bin1110010011010000000…
…10100110011000000000
31201222022112200220120010
413021220002212120000
531022312134034210
61013422202344520
750333436150621
oct7115002463000
91658275626503
10491371783680
1117a43161a908
127b2934bb140
133744a70cc2b
1419ad5349a48
15cbad3e4920
hex72680a6600

491371783680 has 160 divisors (see below), whose sum is σ = 1571636667744. Its totient is φ = 130967207936.

The previous prime is 491371783631. The next prime is 491371783681. The reversal of 491371783680 is 86387173194.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 491371783680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491371783681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16520182 + ... + 16549898.

Almost surely, 2491371783680 is an apocalyptic number.

491371783680 is a gapful number since it is divisible by the number (40) 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 491371783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785818333872).

491371783680 is an abundant number, since it is smaller than the sum of its proper divisors (1080264884064).

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

491371783680 is a wasteful number, since it uses less digits than its factorization.

491371783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31896 (or 31880 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 491371783680 in words is "four hundred ninety-one billion, three hundred seventy-one million, seven hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2153 2560 3840 4306 6459 7680 8612 10765 12918 17224 21530 25836 29717 32295 34448 43060 51672 59434 64590 68896 86120 89151 103344 118868 129180 137792 148585 172240 178302 206688 237736 258360 275584 297170 344480 356604 413376 445755 475472 516720 551168 594340 688960 713208 826752 891510 950944 1033440 1102336 1188680 1377920 1426416 1653504 1783020 1901888 2066880 2377360 2755840 2852832 3307008 3566040 3803776 4133760 4754720 5511680 5705664 7132080 7607552 8267520 9509440 11411328 14264160 15215104 16535040 19018880 22822656 28528320 38037760 45645312 57056640 63980701 76075520 114113280 127961402 191942103 228226560 255922804 319903505 383884206 511845608 639807010 767768412 959710515 1023691216 1279614020 1535536824 1919421030 2047382432 2559228040 3071073648 3838842060 4094764864 5118456080 6142147296 7677684120 8189529728 10236912160 12284294592 15355368240 16379059456 20473824320 24568589184 30710736480 32758118912 40947648640 49137178368 61421472960 81895297280 98274356736 122842945920 163790594560 245685891840 491371783680