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2058655872 = 27371358913
BaseRepresentation
bin111101010110100…
…1001100010000000
312022110201112221210
41322231021202000
513204003441442
6540140050120
7102005200110
oct17255114200
95273645853
102058655872
1196706a699
12495533940
1326a673590
141575a7040
15c0aec19c
hex7ab49880

2058655872 has 128 divisors (see below), whose sum is σ = 6730335360. Its totient is φ = 542932992.

The previous prime is 2058655861. The next prime is 2058655931. The reversal of 2058655872 is 2785568502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 5488 + ... + 64400.

It is an arithmetic number, because the mean of its divisors is an integer number (52580745).

Almost surely, 22058655872 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 2058655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365167680).

2058655872 is an abundant number, since it is smaller than the sum of its proper divisors (4671679488).

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

2058655872 is a wasteful number, since it uses less digits than its factorization.

2058655872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58950 (or 58938 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 2058655872 is about 45372.4131163420. The cubic root of 2058655872 is about 1272.1195251790.

The spelling of 2058655872 in words is "two billion, fifty-eight million, six hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 58913 117826 176739 235652 353478 412391 471304 706956 765869 824782 942608 1237173 1413912 1531738 1649564 1885216 2297607 2474346 2827824 3063476 3299128 3770432 4595214 4948692 5361083 5655648 6126952 6598256 7540864 9190428 9897384 10722166 11311296 12253904 13196512 16083249 18380856 19794768 21444332 22622592 24507808 26393024 32166498 36761712 39589536 42888664 49015616 52786048 64332996 73523424 79179072 85777328 98031232 128665992 147046848 158358144 171554656 257331984 294093696 343109312 514663968 686218624 1029327936 2058655872