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20131966680 = 2335731773117
BaseRepresentation
bin10010101111111101…
…010110111011011000
31220222000211212111120
4102233331112323120
5312212240413210
613125401525240
71311613615260
oct225775267330
956860755446
1020131966680
1185a0a745a1
123a9a1a3820
131b8ab31627
14d8da387a0
157cc637270
hex4aff56ed8

20131966680 has 128 divisors (see below), whose sum is σ = 71250554880. Its totient is φ = 4453148160.

The previous prime is 20131966669. The next prime is 20131966693. The reversal of 20131966680 is 8666913102.

It is a super-3 number, since 3×201319666803 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 360519 + ... + 412598.

It is an arithmetic number, because the mean of its divisors is an integer number (556644960).

Almost surely, 220131966680 is an apocalyptic number.

20131966680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131966680 is an abundant number, since it is smaller than the sum of its proper divisors (51118588200).

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

20131966680 is a wasteful number, since it uses less digits than its factorization.

20131966680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773169 (or 773165 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 20131966680 in words is "twenty billion, one hundred thirty-one million, nine hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 773117 1546234 2319351 3092468 3865585 4638702 5411819 6184936 7731170 9277404 10823638 11596755 15462340 16235457 18554808 21647276 23193510 23966627 27059095 30924680 32470914 43294552 46387020 47933254 54118190 64941828 71899881 81177285 92774040 95866508 108236380 119833135 129883656 143799762 162354570 167766389 191733016 216472760 239666270 287599524 324709140 335532778 359499405 479332540 503299167 575199048 649418280 671065556 718998810 838831945 958665080 1006598334 1342131112 1437997620 1677663890 2013196668 2516495835 2875995240 3355327780 4026393336 5032991670 6710655560 10065983340 20131966680