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3016429056 = 293219131263
BaseRepresentation
bin1011001111001011…
…0000111000000000
321210012221110202200
42303302300320000
522134201212211
61215152313200
7134515136544
oct26362607000
97705843680
103016429056
111308771883
12702242800
13390c17484
14208881a24
15129c3bb56
hexb3cb0e00

3016429056 has 240 divisors, whose sum is σ = 9268871040. Its totient is φ = 941690880.

The previous prime is 3016429019. The next prime is 3016429069. The reversal of 3016429056 is 6509246103.

It is a happy number.

3016429056 is a `hidden beast` number, since 3 + 0 + 1 + 642 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×30164290562 = 18197688499762102272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3016429056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11469181 + ... + 11469443.

It is an arithmetic number, because the mean of its divisors is an integer number (38620296).

Almost surely, 23016429056 is an apocalyptic number.

3016429056 is a gapful number since it is divisible by the number (36) 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 3016429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634435520).

3016429056 is an abundant number, since it is smaller than the sum of its proper divisors (6252441984).

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

3016429056 is a wasteful number, since it uses less digits than its factorization.

3016429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3016429056 is about 54922.0270565463. The cubic root of 3016429056 is about 1444.8775343504.

The spelling of 3016429056 in words is "three billion, sixteen million, four hundred twenty-nine thousand, fifty-six".