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5831000064 = 217324943
BaseRepresentation
bin1010110111000111…
…00000000000000000
3120001101001111100100
411123203200000000
543420214000224
62402334322400
7264332453121
oct53343400000
916041044310
105831000064
1125224a171a
121168959400
1371c0769c6
143d45ba048
15241da3ac9
hex15b8e0000

5831000064 has 108 divisors (see below), whose sum is σ = 16848454896. Its totient is φ = 1943273472.

The previous prime is 5831000059. The next prime is 5831000083. The reversal of 5831000064 is 4600001385.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1177177 + ... + 1182119.

It is an arithmetic number, because the mean of its divisors is an integer number (156004212).

Almost surely, 25831000064 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 5831000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424227448).

5831000064 is an abundant number, since it is smaller than the sum of its proper divisors (11017454832).

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

5831000064 is an frugal number, since it uses more digits than its factorization.

5831000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4983 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5831000064 is about 76360.9852215122. The cubic root of 5831000064 is about 1799.8971200459.

The spelling of 5831000064 in words is "five billion, eight hundred thirty-one million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 4943 6144 8192 9216 9886 12288 14829 16384 18432 19772 24576 29658 32768 36864 39544 44487 49152 59316 65536 73728 79088 88974 98304 118632 131072 147456 158176 177948 196608 237264 294912 316352 355896 393216 474528 589824 632704 711792 949056 1179648 1265408 1423584 1898112 2530816 2847168 3796224 5061632 5694336 7592448 10123264 11388672 15184896 20246528 22777344 30369792 40493056 45554688 60739584 80986112 91109376 121479168 161972224 182218752 242958336 323944448 364437504 485916672 647888896 728875008 971833344 1457750016 1943666688 2915500032 5831000064