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4208069644164 = 223243279512
BaseRepresentation
bin111101001111000100011…
…111110000111110000100
3112220021202121102210011100
4331033010133300332010
51022421111312103124
612541054400340100
7613010613542361
oct75170437607604
915807677383140
104208069644164
1113826a5678981
1257b676014630
13246a85c03589
14107959057468
15746dcad51c9
hex3d3c47f0f84

4208069644164 has 81 divisors (see below), whose sum is σ = 10891561246839. Its totient is φ = 1369896872400.

The previous prime is 4208069644159. The next prime is 4208069644189. The reversal of 4208069644164 is 4614469608024.

The square root of 4208069644164 is 2051358.

It is a perfect power (a square), and thus also a powerful number.

4208069644164 is a `hidden beast` number, since 4 + 2 + 0 + 80 + 69 + 6 + 441 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4208069644164.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 529246389 + ... + 529254339.

Almost surely, 24208069644164 is an apocalyptic number.

4208069644164 is the 2051358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4208069644164

4208069644164 is an abundant number, since it is smaller than the sum of its proper divisors (6683491602675).

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

4208069644164 is an frugal number, since it uses more digits than its factorization.

4208069644164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15998 (or 7999 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 4208069644164 in words is "four trillion, two hundred eight billion, sixty-nine million, six hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1849 3698 5547 7396 7951 11094 15902 16641 22188 23853 31804 33282 47706 66564 71559 95412 143118 286236 341893 683786 1025679 1367572 2051358 3077037 4102716 6154074 12308148 14701399 29402798 44104197 58805596 63218401 88208394 126436802 132312591 176416788 189655203 252873604 264625182 379310406 529250364 568965609 758620812 1137931218 2275862436 2718391243 5436782486 8155173729 10873564972 16310347458 24465521187 32620694916 48931042374 97862084748 116890823449 233781646898 350672470347 467563293796 701344940694 1052017411041 1402689881388 2104034822082 4208069644164