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13411779920 = 2457112177237
BaseRepresentation
bin11000111110110011…
…11000010101010000
31021121200122000022122
430133121320111100
5204431403424140
610054500553412
7653233151120
oct143731702520
937550560278
1013411779920
115762666840
1227236b2868
1313597a9066
14913318c80
15537690ab5
hex31f678550

13411779920 has 80 divisors (see below), whose sum is σ = 38876761728. Its totient is φ = 4180293120.

The previous prime is 13411779841. The next prime is 13411779923. The reversal of 13411779920 is 2997711431.

13411779920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411779923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082459 + ... + 1094778.

Almost surely, 213411779920 is an apocalyptic number.

13411779920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13411779920 is an abundant number, since it is smaller than the sum of its proper divisors (25464981808).

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

13411779920 is a wasteful number, since it uses less digits than its factorization.

13411779920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177268 (or 2177262 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 44.

The spelling of 13411779920 in words is "thirteen billion, four hundred eleven million, seven hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 2177237 4354474 8708948 10886185 15240659 17417896 21772370 23949607 30481318 34835792 43544740 47899214 60962636 76203295 87089480 95798428 119748035 121925272 152406590 167647249 174178960 191596856 239496070 243850544 304813180 335294498 383193712 478992140 609626360 670588996 838236245 957984280 1219252720 1341177992 1676472490 1915968560 2682355984 3352944980 6705889960 13411779920