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6054084864 = 283216212
BaseRepresentation
bin1011010001101101…
…00000000100000000
3120121220211101011100
411220312200010000
544344321203424
62440424014400
7303011605122
oct55066400400
916556741140
106054084864
112627411623
12120b601400
13756354549
1441608b212
1525676cdc9
hex168da0100

6054084864 has 81 divisors (see below), whose sum is σ = 17466194109. Its totient is φ = 2016783360.

The previous prime is 6054084851. The next prime is 6054084877. The reversal of 6054084864 is 4684804506.

The square root of 6054084864 is 77808.

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

6054084864 is a `hidden beast` number, since 6 + 0 + 540 + 8 + 48 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (6054084851) and next prime (6054084877).

It can be written as a sum of positive squares in only one way, i.e., 4652331264 + 1401753600 = 68208^2 + 37440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3733974 + ... + 3735594.

Almost surely, 26054084864 is an apocalyptic number.

6054084864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6054084864 is the 77808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6054084864

6054084864 is an abundant number, since it is smaller than the sum of its proper divisors (11412109245).

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

6054084864 is an frugal number, since it uses more digits than its factorization.

6054084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The cubic root of 6054084864 is about 1822.5641978662.

The spelling of 6054084864 in words is "six billion, fifty-four million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1621 2304 3242 4863 6484 9726 12968 14589 19452 25936 29178 38904 51872 58356 77808 103744 116712 155616 207488 233424 311232 414976 466848 622464 933696 1244928 1867392 2627641 3734784 5255282 7882923 10510564 15765846 21021128 23648769 31531692 42042256 47297538 63063384 84084512 94595076 126126768 168169024 189190152 252253536 336338048 378380304 504507072 672676096 756760608 1009014144 1513521216 2018028288 3027042432 6054084864