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368166004668 = 2232731117283113
BaseRepresentation
bin1010101101110000110…
…01110110011110111100
31022012022010021211222200
411112320121312132330
522013000444122133
6441044431111500
735412332256000
oct5267031663674
91265263254880
10368166004668
11132158125550
125b42a072590
1328944312807
1413b68352700
15989bc9d913
hex55b86767bc

368166004668 has 864 divisors, whose sum is σ = 1284118617600. Its totient is φ = 88131133440.

The previous prime is 368166004663. The next prime is 368166004669. The reversal of 368166004668 is 866400661863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368166004663) 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 287 ways as a sum of consecutive naturals, for example, 3258106180 + ... + 3258106292.

It is an arithmetic number, because the mean of its divisors is an integer number (1486248400).

Almost surely, 2368166004668 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 368166004668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642059308800).

368166004668 is an abundant number, since it is smaller than the sum of its proper divisors (915952612932).

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

368166004668 is a wasteful number, since it uses less digits than its factorization.

368166004668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 368166004668 in words is "three hundred sixty-eight billion, one hundred sixty-six million, four thousand, six hundred sixty-eight".