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12002011929664 = 264330492
BaseRepresentation
bin1010111010100110111110…
…1010000101110001000000
31120111101021211212201102221
42232221233222011301000
53033120110023222124
641305352000420424
72346055021101451
oct256515752056100
946441254781387
1012002011929664
11390802a92a399
12141a0a1617714
13690a28482c03
142d6c86ca1128
1515c2ee88cce4
hexaea6fa85c40

12002011929664 has 21 divisors (see below), whose sum is σ = 23816547420277. Its totient is φ = 6000992107264.

The previous prime is 12002011929659. The next prime is 12002011929679. The reversal of 12002011929664 is 46692911020021.

The square root of 12002011929664 is 3464392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9927490227264 + 2074521702400 = 3150792^2 + 1440320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12002011929664.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 27498612 + ... + 27931660.

Almost surely, 212002011929664 is an apocalyptic number.

12002011929664 is the 3464392-nd square number.

It is an amenable number.

12002011929664 is a deficient number, since it is larger than the sum of its proper divisors (11814535490613).

12002011929664 is an frugal number, since it uses more digits than its factorization.

12002011929664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866110 (or 433051 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

Adding to 12002011929664 its reverse (46692911020021), we get a palindrome (58694922949685).

The spelling of 12002011929664 in words is "twelve trillion, two billion, eleven million, nine hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 433049 866098 1732196 3464392 6928784 13857568 27715136 187531436401 375062872802 750125745604 1500251491208 3000502982416 6001005964832 12002011929664