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949668581620 = 225118311324073
BaseRepresentation
bin11011101000111001010…
…10001001000011110100
310100210021000222110022101
431310130222021003310
5111024410124102440
62004134405311444
7125416446516643
oct15643452110364
93323230873271
10949668581620
1133683017a360
12134076105584
136b72697a585
1433d6dac535a
1519a82c5869a
hexdd1ca890f4

949668581620 has 144 divisors (see below), whose sum is σ = 2222019438912. Its totient is φ = 338071121920.

The previous prime is 949668581599. The next prime is 949668581623. The reversal of 949668581620 is 26185866949.

It is a super-2 number, since 2×9496685816202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949668581623) 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 47 ways as a sum of consecutive naturals, for example, 233159904 + ... + 233163976.

It is an arithmetic number, because the mean of its divisors is an integer number (15430690548).

Almost surely, 2949668581620 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 949668581620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111009719456).

949668581620 is an abundant number, since it is smaller than the sum of its proper divisors (1272350857292).

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

949668581620 is a wasteful number, since it uses less digits than its factorization.

949668581620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 64.

The spelling of 949668581620 in words is "nine hundred forty-nine billion, six hundred sixty-eight million, five hundred eighty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 113 166 220 226 332 415 452 565 830 913 1130 1243 1660 1826 2260 2486 3652 4073 4565 4972 6215 8146 9130 9379 12430 12769 16292 18260 18758 20365 24860 25538 37516 40730 44803 46895 51076 63845 81460 89606 93790 103169 127690 140459 179212 187580 206338 224015 255380 280918 338059 412676 448030 460249 515845 561836 676118 702295 896060 920498 1031690 1059827 1352236 1404590 1690295 1840996 2063380 2119654 2301245 2809180 3380590 3718649 4239308 4602490 5062739 5299135 6761180 7437298 9204980 10125478 10598270 11658097 14874596 18593245 20250956 21196540 23316194 25313695 37186490 38200667 46632388 50627390 52008137 58290485 74372980 76401334 101254780 104016274 116580970 152802668 191003335 208032548 233161940 260040685 382006670 420207337 520081370 572089507 764013340 840414674 1040162740 1144179014 1680829348 2101036685 2288358028 2860447535 4202073370 4316675371 5720895070 8404146740 8633350742 11441790140 17266701484 21583376855 43166753710 47483429081 86333507420 94966858162 189933716324 237417145405 474834290810 949668581620