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19955649360 = 2435295695039
BaseRepresentation
bin10010100101011100…
…110000101101010000
31220111202002000121110
4102211130300231100
5311332121234420
613100102453320
71304343135513
oct224534605520
956452060543
1019955649360
1185104977a9
123a4b134240
131b60449a5a
14d7445cd7a
157bbe09ee0
hex4a5730b50

19955649360 has 160 divisors (see below), whose sum is σ = 64120896000. Its totient is φ = 5127958528.

The previous prime is 19955649349. The next prime is 19955649377. The reversal of 19955649360 is 6394655991.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 19955649360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3957721 + ... + 3962759.

It is an arithmetic number, because the mean of its divisors is an integer number (400755600).

Almost surely, 219955649360 is an apocalyptic number.

19955649360 is a gapful number since it is divisible by the number (10) 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 19955649360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060448000).

19955649360 is an abundant number, since it is smaller than the sum of its proper divisors (44165246640).

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

19955649360 is a wasteful number, since it uses less digits than its factorization.

19955649360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5653 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 57.

The spelling of 19955649360 in words is "nineteen billion, nine hundred fifty-five million, six hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 569 580 696 870 1138 1160 1392 1707 1740 2276 2320 2845 3414 3480 4552 5039 5690 6828 6960 8535 9104 10078 11380 13656 15117 16501 17070 20156 22760 25195 27312 30234 33002 34140 40312 45520 49503 50390 60468 66004 68280 75585 80624 82505 99006 100780 120936 132008 136560 146131 151170 165010 198012 201560 241872 247515 264016 292262 302340 330020 396024 403120 438393 495030 584524 604680 660040 730655 792048 876786 990060 1169048 1209360 1320080 1461310 1753572 1980120 2191965 2338096 2867191 2922620 3507144 3960240 4383930 5734382 5845240 7014288 8601573 8767860 11468764 11690480 14335955 17203146 17535720 22937528 28671910 34406292 35071440 43007865 45875056 57343820 68812584 83148539 86015730 114687640 137625168 166297078 172031460 229375280 249445617 332594156 344062920 415742695 498891234 665188312 688125840 831485390 997782468 1247228085 1330376624 1662970780 1995564936 2494456170 3325941560 3991129872 4988912340 6651883120 9977824680 19955649360