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5806779168 = 253434992819
BaseRepresentation
bin1010110100001110…
…00110101100100000
3112222200110221112010
411122013012230200
543343013413133
62400111232520
7263616544221
oct53207065440
915880427463
105806779168
11250a859153
121160818740
13717046308
143d12b3248
1523ebbc263
hex15a1c6b20

5806779168 has 96 divisors (see below), whose sum is σ = 15634080000. Its totient is φ = 1886121216.

The previous prime is 5806779151. The next prime is 5806779179. The reversal of 5806779168 is 8619776085.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2058463 + ... + 2061281.

It is an arithmetic number, because the mean of its divisors is an integer number (162855000).

Almost surely, 25806779168 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 5806779168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817040000).

5806779168 is an abundant number, since it is smaller than the sum of its proper divisors (9827300832).

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

5806779168 is a wasteful number, since it uses less digits than its factorization.

5806779168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The square root of 5806779168 is about 76202.2254793126. The cubic root of 5806779168 is about 1797.4015148219.

The spelling of 5806779168 in words is "five billion, eight hundred six million, seven hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 499 516 688 998 1032 1376 1497 1996 2064 2819 2994 3992 4128 5638 5988 7984 8457 11276 11976 15968 16914 21457 22552 23952 33828 42914 45104 47904 64371 67656 85828 90208 121217 128742 135312 171656 242434 257484 270624 343312 363651 484868 514968 686624 727302 969736 1029936 1406681 1454604 1939472 2059872 2813362 2909208 3878944 4220043 5626724 5818416 8440086 11253448 11636832 16880172 22506896 33760344 45013792 60487283 67520688 120974566 135041376 181461849 241949132 362923698 483898264 725847396 967796528 1451694792 1935593056 2903389584 5806779168