Search a number
-
+
11689439992720 = 2457292048335141
BaseRepresentation
bin1010101000011010100011…
…1010110001101110010000
31112101111111011122010100121
42222012220322301232100
53013004433114231340
640510015443200024
72314351135343530
oct252065072615620
945344434563317
1011689439992720
1137a7511150866
1213895a9976014
1366a403b6b379
142c5ab41c14c0
1515410863594a
hexaa1a8eb1b90

11689439992720 has 160 divisors (see below), whose sum is σ = 32134047217920. Its totient is φ = 3869308692480.

The previous prime is 11689439992717. The next prime is 11689439992739. The reversal of 11689439992720 is 2729993498611.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 11689439992720.

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, 332626350 + ... + 332661490.

It is an arithmetic number, because the mean of its divisors is an integer number (200837795112).

Almost surely, 211689439992720 is an apocalyptic number.

11689439992720 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 11689439992720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067023608960).

11689439992720 is an abundant number, since it is smaller than the sum of its proper divisors (20444607225200).

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

11689439992720 is a wasteful number, since it uses less digits than its factorization.

11689439992720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55673 (or 55667 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 70.

The spelling of 11689439992720 in words is "eleven trillion, six hundred eighty-nine billion, four hundred thirty-nine million, nine hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 20483 35141 40966 70282 81932 102415 140564 143381 163864 175705 204830 245987 281128 286762 327728 351410 409660 491974 562256 573524 594007 702820 716905 819320 983948 1019089 1147048 1188014 1229935 1405640 1433810 1638640 1967896 2038178 2294096 2376028 2459870 2811280 2867620 2970035 3935792 4076356 4158049 4752056 4919740 5095445 5735240 5940070 7133623 8152712 8316098 9504112 9839480 10190890 11470480 11880140 14267246 16305424 16632196 19678960 20381780 20790245 23760280 28534492 33264392 35668115 40763560 41580490 47520560 57068984 66528784 71336230 81527120 83160980 114137968 142672460 166321960 285344920 332643920 570689840 719793103 1439586206 2879172412 3598965515 5038551721 5758344824 7197931030 10077103442 11516689648 14395862060 20154206884 20873999987 25192758605 28791724120 40308413768 41747999974 50385517210 57583448240 80616827536 83495999948 100771034420 104369999935 146117999909 166991999896 201542068840 208739999870 292235999818 333983999792 403084137680 417479999740 584471999636 730589999545 834959999480 1168943999272 1461179999090 1669919998960 2337887998544 2922359998180 5844719996360 11689439992720