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12820512848 = 24111325721803
BaseRepresentation
bin10111111000010100…
…11000000001010000
31020002111001112101012
423330022120001100
5202224022402343
65520100030052
7632463363323
oct137412300120
936074045335
1012820512848
115489933070
122599692328
13129414a3a0
148989a67ba
155007ea718
hex2fc298050

12820512848 has 80 divisors (see below), whose sum is σ = 29297249856. Its totient is φ = 5358059520.

The previous prime is 12820512797. The next prime is 12820512851. The reversal of 12820512848 is 84821502821.

It is a super-2 number, since 2×128205128482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577115 + ... + 598917.

Almost surely, 212820512848 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 12820512848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14648624928).

12820512848 is an abundant number, since it is smaller than the sum of its proper divisors (16476737008).

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

12820512848 is a wasteful number, since it uses less digits than its factorization.

12820512848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22092 (or 22086 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The spelling of 12820512848 in words is "twelve billion, eight hundred twenty million, five hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 257 286 514 572 1028 1144 2056 2288 2827 3341 4112 5654 6682 11308 13364 21803 22616 26728 36751 43606 45232 53456 73502 87212 147004 174424 239833 283439 294008 348848 479666 566878 588016 959332 1133756 1918664 2267512 3117829 3837328 4535024 5603371 6235658 11206742 12471316 22413484 24942632 44826968 49885264 61637081 72843823 89653936 123274162 145687646 246548324 291375292 493096648 582750584 801282053 986193296 1165501168 1602564106 3205128212 6410256424 12820512848