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20114351387608 = 231937173110318743
BaseRepresentation
bin1001001001011001111001…
…10001001111001111011000
32122012220122201202212122211
410210230330301033033120
510114023142423400413
6110440223325124504
74144133243542402
oct444547461171730
978186581685584
1020114351387608
1164554a2a84055
12230a3676b9734
13b2ba10152cba
144d777b303b72
1524d348eb383d
hex124b3cc4f3d8

20114351387608 has 128 divisors (see below), whose sum is σ = 41047380633600. Its totient is φ = 9207908015616.

The previous prime is 20114351387491. The next prime is 20114351387609. The reversal of 20114351387608 is 80678315341102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20114351387609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073156685 + ... + 1073175427.

It is an arithmetic number, because the mean of its divisors is an integer number (320682661200).

Almost surely, 220114351387608 is an apocalyptic number.

It is an amenable number.

20114351387608 is an abundant number, since it is smaller than the sum of its proper divisors (20933029245992).

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

20114351387608 is a wasteful number, since it uses less digits than its factorization.

20114351387608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20081 (or 20077 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 20114351387608 in words is "twenty trillion, one hundred fourteen billion, three hundred fifty-one million, three hundred eighty-seven thousand, six hundred eight".

Divisors: 1 2 4 8 19 37 38 74 76 148 152 173 296 346 692 703 1103 1384 1406 2206 2812 3287 4412 5624 6401 6574 8824 12802 13148 18743 20957 25604 26296 37486 40811 41914 51208 74972 81622 83828 121619 149944 163244 167656 190819 243238 326488 356117 381638 486476 693491 712234 763276 775409 972952 1386982 1424468 1526552 1550818 2773964 2848936 3101636 3242539 3625561 5547928 6203272 6485078 7060303 7251122 12970156 13176329 14120606 14502244 20673529 25940312 26352658 28241212 29004488 41347058 52705316 56482424 61608241 82694116 105410632 119973943 123216482 134145757 165388232 239947886 246432964 268291514 392797051 479895772 492865928 536583028 764920573 785594102 959791544 1073166056 1529841146 1571188204 2279504917 3059682292 3142376408 3576520517 4559009834 6119364584 7153041034 9118019668 14306082068 14533490887 18236039336 28612164136 29066981774 58133963548 67953889823 116267927096 132331259129 135907779646 264662518258 271815559292 529325036516 543631118584 1058650073032 2514293923451 5028587846902 10057175693804 20114351387608