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2059226496 = 27335910099
BaseRepresentation
bin111101010111101…
…0100110110000000
312022111210112201000
41322233110312000
513204130221441
6540200212000
7102013064535
oct17257246600
95274715630
102059226496
1196741a388
1249576a000
1326a813222
141576b4d8c
15c0bb12b6
hex7abd4d80

2059226496 has 128 divisors (see below), whose sum is σ = 6181200000. Its totient is φ = 674707968.

The previous prime is 2059226489. The next prime is 2059226509. The reversal of 2059226496 is 6946229502.

2059226496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 198855 + ... + 208953.

It is an arithmetic number, because the mean of its divisors is an integer number (48290625).

Almost surely, 22059226496 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 2059226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090600000).

2059226496 is an abundant number, since it is smaller than the sum of its proper divisors (4121973504).

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

2059226496 is a wasteful number, since it uses less digits than its factorization.

2059226496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10181 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2059226496 is about 45378.7009069233. The cubic root of 2059226496 is about 1272.2370508719.

The spelling of 2059226496 in words is "two billion, fifty-nine million, two hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 128 144 177 192 216 236 288 354 384 432 472 531 576 708 864 944 1062 1152 1416 1593 1728 1888 2124 2832 3186 3456 3776 4248 5664 6372 7552 8496 10099 11328 12744 16992 20198 22656 25488 30297 33984 40396 50976 60594 67968 80792 90891 101952 121188 161584 181782 203904 242376 272673 323168 363564 484752 545346 595841 646336 727128 969504 1090692 1191682 1292672 1454256 1787523 1939008 2181384 2383364 2908512 3575046 3878016 4362768 4766728 5362569 5817024 7150092 8725536 9533456 10725138 11634048 14300184 16087707 17451072 19066912 21450276 28600368 32175414 34902144 38133824 42900552 57200736 64350828 76267648 85801104 114401472 128701656 171602208 228802944 257403312 343204416 514806624 686408832 1029613248 2059226496