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2064575148972 = 2237127239980671
BaseRepresentation
bin11110000010110010010…
…001001011001110101100
321022101000210101022020020
4132002302101023032230
5232311222214231342
64220241442322140
7302106045133350
oct36026221131654
97271023338206
102064575148972
11726643936aa6
12294166059350
1311c8c4b1a3ab
1471cd6c11460
1538a872150ec
hex1e0b244b3ac

2064575148972 has 96 divisors (see below), whose sum is σ = 5551266201600. Its totient is φ = 584982699840.

The previous prime is 2064575148931. The next prime is 2064575148973. The reversal of 2064575148972 is 2798415754602.

It is not an unprimeable number, because it can be changed into a prime (2064575148973) 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 31 ways as a sum of consecutive naturals, for example, 25552197 + ... + 25632867.

It is an arithmetic number, because the mean of its divisors is an integer number (57825689600).

Almost surely, 22064575148972 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 2064575148972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775633100800).

2064575148972 is an abundant number, since it is smaller than the sum of its proper divisors (3486691052628).

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

2064575148972 is a wasteful number, since it uses less digits than its factorization.

2064575148972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83211 (or 83209 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 2064575148972 in words is "two trillion, sixty-four billion, five hundred seventy-five million, one hundred forty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2399 2667 3556 4798 5334 7197 9596 10668 14394 16793 28788 33586 50379 67172 80671 100758 161342 201516 242013 304673 322684 484026 564697 609346 914019 968052 1129394 1218692 1694091 1828038 2132711 2258788 3388182 3656076 4265422 6398133 6776364 8530844 10245217 12796266 20490434 25592532 30735651 40980868 61471302 71716519 122942604 143433038 193529729 215149557 286866076 387059458 430299114 580589187 774118916 860598228 1161178374 1354708103 2322356748 2709416206 4064124309 5418832412 8128248618 16256497236 24578275583 49156551166 73734826749 98313102332 147469653498 172047929081 294939306996 344095858162 516143787243 688191716324 1032287574486 2064575148972