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1076164113388 = 227137347984551
BaseRepresentation
bin11111010100100000110…
…00010011001111101100
310210212202201122021021111
433222100120103033230
5120112441003112023
62142214415441404
7140515231014520
oct17522030231754
93725681567244
101076164113388
1138544264a651
12154699226264
137a6357aca60
143a12d98bd80
151ced80cb00d
hexfa906133ec

1076164113388 has 96 divisors (see below), whose sum is σ = 2354577039360. Its totient is φ = 419021683200.

The previous prime is 1076164113373. The next prime is 1076164113389. The reversal of 1076164113388 is 8833114616701.

1076164113388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1076164113389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12685713 + ... + 12770263.

It is an arithmetic number, because the mean of its divisors is an integer number (24526844160).

Almost surely, 21076164113388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076164113388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177288519680).

1076164113388 is an abundant number, since it is smaller than the sum of its proper divisors (1278412925972).

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

1076164113388 is a wasteful number, since it uses less digits than its factorization.

1076164113388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85127 (or 85125 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 1076164113388 in words is "one trillion, seventy-six billion, one hundred sixty-four million, one hundred thirteen thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 292 364 479 511 949 958 1022 1898 1916 2044 3353 3796 6227 6643 6706 12454 13286 13412 24908 26572 34967 43589 69934 84551 87178 139868 169102 174356 244769 338204 454571 489538 591857 909142 979076 1099163 1183714 1818284 2198326 2367428 3181997 4396652 6172223 6363994 7694141 12344446 12727988 15388282 24688892 30776564 40499929 43205561 80238899 80999858 86411122 160477798 161999716 172822244 283499503 320955596 526499077 561672293 566999006 1052998154 1123344586 1133998012 2105996308 2246689172 2956494817 3685493539 5912989634 7370987078 11825979268 14741974156 20695463719 38434432621 41390927438 76868865242 82781854876 153737730484 269041028347 538082056694 1076164113388