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2058265215616 = 27174761332831
BaseRepresentation
bin11101111100111010001…
…010101100001010000000
321021202202001010110220211
4131330322022230022000
5232210311343344431
64213315354443504
7301463505444241
oct35747212541200
97252661113824
102058265215616
117239a6067745
12292aa4a33594
1311c12a78640c
1471898ba4cc8
15388182aa2b1
hex1df3a2ac280

2058265215616 has 128 divisors (see below), whose sum is σ = 4441397391360. Its totient is φ = 946411683840.

The previous prime is 2058265215613. The next prime is 2058265215623. The reversal of 2058265215616 is 6165125628502.

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

It is a super-3 number, since 3×20582652156163 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2058265215616.

It is not an unprimeable number, because it can be changed into a prime (2058265215613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62676321 + ... + 62709151.

It is an arithmetic number, because the mean of its divisors is an integer number (34698417120).

Almost surely, 22058265215616 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 2058265215616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220698695680).

2058265215616 is an abundant number, since it is smaller than the sum of its proper divisors (2383132175744).

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

2058265215616 is a wasteful number, since it uses less digits than its factorization.

2058265215616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33522 (or 33510 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The spelling of 2058265215616 in words is "two trillion, fifty-eight billion, two hundred sixty-five million, two hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 272 376 544 613 752 799 1088 1226 1504 1598 2176 2452 3008 3196 4904 6016 6392 9808 10421 12784 19616 20842 25568 28811 32831 39232 41684 51136 57622 65662 78464 83368 102272 115244 131324 166736 230488 262648 333472 460976 489787 525296 558127 666944 921952 979574 1050592 1116254 1333888 1543057 1843904 1959148 2101184 2232508 3086114 3687808 3918296 4202368 4465016 6172228 7836592 8930032 12344456 15673184 17860064 20125403 24688912 26231969 31346368 35720128 40250806 49377824 52463938 62692736 71440256 80501612 98755648 104927876 161003224 197511296 209855752 322006448 342131851 419711504 644012896 684263702 839423008 945893941 1288025792 1368527404 1678846016 1891787882 2576051584 2737054808 3357692032 3783575764 5474109616 7567151528 10948219232 15134303056 16080196997 21896438464 30268606112 32160393994 43792876928 60537212224 64320787988 121074424448 128641575976 257283151952 514566303904 1029132607808 2058265215616