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941439728680 = 2351129503146681
BaseRepresentation
bin11011011001100100010…
…11100011110000101000
310100000000112221102012021
431230302023203300220
5110411032032304210
62000254052354224
7125005516442023
oct15546213436050
93300015842167
10941439728680
11333298202350
1213255a315974
136aa14bba319
14337ccc881ba
1519750604bda
hexdb322e3c28

941439728680 has 128 divisors (see below), whose sum is σ = 2395258387200. Its totient is φ = 329877452800.

The previous prime is 941439728653. The next prime is 941439728683. The reversal of 941439728680 is 86827934149.

It is not an unprimeable number, because it can be changed into a prime (941439728683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6344940 + ... + 6491620.

It is an arithmetic number, because the mean of its divisors is an integer number (18712956150).

Almost surely, 2941439728680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 941439728680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197629193600).

941439728680 is an abundant number, since it is smaller than the sum of its proper divisors (1453818658520).

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

941439728680 is a wasteful number, since it uses less digits than its factorization.

941439728680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147235 (or 147231 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 941439728680 in words is "nine hundred forty-one billion, four hundred thirty-nine million, seven hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 503 580 638 1006 1160 1276 1595 2012 2515 2552 3190 4024 5030 5533 6380 10060 11066 12760 14587 20120 22132 27665 29174 44264 55330 58348 72935 110660 116696 145870 146681 160457 221320 291740 293362 320914 583480 586724 641828 733405 802285 1173448 1283656 1466810 1604570 1613491 2933620 3209140 3226982 4253749 5867240 6418280 6453964 8067455 8507498 12907928 16134910 17014996 21268745 32269820 34029992 42537490 46791239 64539640 73780543 85074980 93582478 147561086 170149960 187164956 233956195 295122172 368902715 374329912 467912390 590244344 737805430 811585973 935824780 1475610860 1623171946 1871649560 2139635747 2951221720 3246343892 4057929865 4279271494 6492687784 8115859730 8558542988 10698178735 16231719460 17117085976 21396357470 23535993217 32463438920 42792714940 47071986434 85585429880 94143972868 117679966085 188287945736 235359932170 470719864340 941439728680