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949605189872 = 241741831025917
BaseRepresentation
bin11011101000110001110…
…00010100100011110000
310100210002121200211011212
431310120320110203300
5111024242412033442
62004124222455252
7125415046635233
oct15643070244360
93323077624155
10949605189872
113367a8412189
12134058a34528
136b7167b3871
1433d6550341a
1519a7c3d5a82
hexdd18e148f0

949605189872 has 80 divisors (see below), whose sum is σ = 2019646796832. Its totient is φ = 430720573440.

The previous prime is 949605189839. The next prime is 949605189877. The reversal of 949605189872 is 278981506949.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949605189877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412658 + ... + 1438574.

Almost surely, 2949605189872 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 949605189872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009823398416).

949605189872 is an abundant number, since it is smaller than the sum of its proper divisors (1070041606960).

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

949605189872 is a wasteful number, since it uses less digits than its factorization.

949605189872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026066 (or 1026060 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 68.

The spelling of 949605189872 in words is "nine hundred forty-nine billion, six hundred five million, one hundred eighty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 41 68 82 83 136 164 166 272 328 332 656 664 697 1328 1394 1411 2788 2822 3403 5576 5644 6806 11152 11288 13612 22576 27224 54448 57851 115702 231404 462808 925616 1025917 2051834 4103668 8207336 16414672 17440589 34881178 42062597 69762356 84125194 85151111 139524712 168250388 170302222 279049424 336500776 340604444 673001552 681208888 715064149 1362417776 1430128298 1447568887 2860256596 2895137774 3491195551 5720513192 5790275548 6982391102 11441026384 11580551096 13964782204 23161102192 27929564408 55859128816 59350324367 118700648734 237401297468 474802594936 949605189872