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20162555526102 = 23111724992118377
BaseRepresentation
bin1001001010110011101011…
…11101011011101111010110
32122101112002011100211102120
410211121311331123233112
510120320403203313402
6110514314455120410
74150460631135333
oct445316575335726
978345064324376
1020162555526102
116473989a59840
12231777b073106
13b33422b21582
144d9c3131798a
1524e71ad6b3bc
hex125675f5bbd6

20162555526102 has 96 divisors (see below), whose sum is σ = 46824627312000. Its totient is φ = 5738934789120.

The previous prime is 20162555526083. The next prime is 20162555526109.

It is a happy number.

20162555526102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20162555526109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8458738 + ... + 10577114.

It is an arithmetic number, because the mean of its divisors is an integer number (487756534500).

Almost surely, 220162555526102 is an apocalyptic number.

20162555526102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20162555526102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23412313656000).

20162555526102 is an abundant number, since it is smaller than the sum of its proper divisors (26662071785898).

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

20162555526102 is a wasteful number, since it uses less digits than its factorization.

20162555526102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118926 (or 2118909 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 20162555526102 in words is "twenty trillion, one hundred sixty-two billion, five hundred fifty-five million, five hundred twenty-six thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 289 374 499 561 578 867 998 1122 1497 1734 2994 3179 5489 6358 8483 9537 10978 16467 16966 19074 25449 32934 50898 93313 144211 186626 279939 288422 432633 559878 865266 1586321 2118377 3172642 4236754 4758963 6355131 9517926 12710262 23302147 36012409 46604294 69906441 72024818 108037227 139812882 216074454 396136499 612210953 792272998 1057070123 1188409497 1224421906 1836632859 2114140246 2376818994 3171210369 3673265718 6342420738 6734320483 11627771353 13468640966 17970192091 20202961449 23255542706 34883314059 35940384182 40405922898 53910576273 69766628118 107821152546 197672113001 305493265547 395344226002 593016339003 610986531094 916479796641 1186032678006 1832959593282 3360425921017 6720851842034 10081277763051 20162555526102