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20006076364144 = 2413199483331957
BaseRepresentation
bin1001000110010000001110…
…00100110011010101110000
32121211120011212012210020121
410203020013010303111300
510110234421022123034
6110314355315420024
74133251136201143
oct443100704632560
977746155183217
1020006076364144
116413590606392
1222b138a5b4614
13b21746138c90
144d242926805a
1524a60d5551b4
hex123207133570

20006076364144 has 40 divisors (see below), whose sum is σ = 41953213954400. Its totient is φ = 9187173819648.

The previous prime is 20006076364133. The next prime is 20006076364159. The reversal of 20006076364144 is 44146367060002.

It is a happy number.

It is a super-2 number, since 2×200060763641442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20006076364144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241624587 + ... + 241707370.

It is an arithmetic number, because the mean of its divisors is an integer number (1048830348860).

Almost surely, 220006076364144 is an apocalyptic number.

It is an amenable number.

20006076364144 is an abundant number, since it is smaller than the sum of its proper divisors (21947137590256).

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

20006076364144 is a wasteful number, since it uses less digits than its factorization.

20006076364144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483332177 (or 483332171 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 20006076364144 in words is "twenty trillion, six billion, seventy-six million, three hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 199 208 398 796 1592 2587 3184 5174 10348 20696 41392 483331957 966663914 1933327828 3866655656 6283315441 7733311312 12566630882 25133261764 50266523528 96183059443 100533047056 192366118886 384732237772 769464475544 1250379772759 1538928951088 2500759545518 5001519091036 10003038182072 20006076364144