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12649543648 = 2574612699
BaseRepresentation
bin10111100011111100…
…01011011111100000
31012122120100101201121
423301332023133200
5201401240344043
65451111342024
7625316230000
oct136176133740
935576311647
1012649543648
115401379405
122550381914
1312678b8b91
1487ddc0000
154e07c7ded
hex2f1f8b7e0

12649543648 has 120 divisors (see below), whose sum is σ = 29539906200. Its totient is φ = 5330384640.

The previous prime is 12649543589. The next prime is 12649543663. The reversal of 12649543648 is 84634594621.

It is a junction number, because it is equal to n+sod(n) for n = 12649543595 and 12649543604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4685403 + ... + 4688101.

It is an arithmetic number, because the mean of its divisors is an integer number (246165885).

Almost surely, 212649543648 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 12649543648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769953100).

12649543648 is an abundant number, since it is smaller than the sum of its proper divisors (16890362552).

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

12649543648 is an frugal number, since it uses more digits than its factorization.

12649543648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2769 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 52.

The spelling of 12649543648 in words is "twelve billion, six hundred forty-nine million, five hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 343 392 427 488 686 784 854 976 1372 1568 1708 1952 2401 2699 2744 2989 3416 4802 5398 5488 5978 6832 9604 10796 10976 11956 13664 18893 19208 20923 21592 23912 37786 38416 41846 43184 47824 75572 76832 83692 86368 95648 132251 146461 151144 164639 167384 264502 292922 302288 329278 334768 529004 585844 604576 658556 669536 925757 1058008 1152473 1171688 1317112 1851514 2116016 2304946 2343376 2634224 3703028 4232032 4609892 4686752 5268448 6480299 7406056 8067311 9219784 12960598 14812112 16134622 18439568 25921196 29624224 32269244 36879136 51842392 56471177 64538488 103684784 112942354 129076976 207369568 225884708 258153952 395298239 451769416 790596478 903538832 1581192956 1807077664 3162385912 6324771824 12649543648