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606042314304 = 26372163395201
BaseRepresentation
bin10001101000110101110…
…11111101011001000000
32010221022010112102110220
420310122323331121000
534412133313024204
61142224554023040
761533202450500
oct10643273753100
92127263472426
10606042314304
112140260a5789
1299556417a80
13451c372030b
1421492949a00
1510b705631d9
hex8d1aefd640

606042314304 has 168 divisors, whose sum is σ = 1876728934368. Its totient is φ = 172092211200.

The previous prime is 606042314281. The next prime is 606042314321. The reversal of 606042314304 is 403413240606.

606042314304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335904 + ... + 1731104.

Almost surely, 2606042314304 is an apocalyptic number.

606042314304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 606042314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938364467184).

606042314304 is an abundant number, since it is smaller than the sum of its proper divisors (1270686620064).

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

606042314304 is a wasteful number, since it uses less digits than its factorization.

606042314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395393 (or 395376 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 606042314304 in words is "six hundred six billion, forty-two million, three hundred fourteen thousand, three hundred four".