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12705700216 = 23111938319841
BaseRepresentation
bin10111101010101000…
…11001100101111000
31012210111000110001111
423311110121211320
5202010124401331
65500435130104
7626600445526
oct136524314570
935714013044
1012705700216
1154300446a0
122567143934
13127641b611
1488763b316
154e56bbdb1
hex2f5519978

12705700216 has 64 divisors (see below), whose sum is σ = 27429580800. Its totient is φ = 5456793600.

The previous prime is 12705700201. The next prime is 12705700237. The reversal of 12705700216 is 61200750721.

It is a super-2 number, since 2×127057002162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630456 + ... + 650296.

It is an arithmetic number, because the mean of its divisors is an integer number (428587200).

Almost surely, 212705700216 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 12705700216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714790400).

12705700216 is an abundant number, since it is smaller than the sum of its proper divisors (14723880584).

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

12705700216 is a wasteful number, since it uses less digits than its factorization.

12705700216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20260 (or 20256 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The spelling of 12705700216 in words is "twelve billion, seven hundred five million, seven hundred thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 383 418 766 836 1532 1672 3064 4213 7277 8426 14554 16852 19841 29108 33704 39682 58216 79364 80047 158728 160094 218251 320188 376979 436502 640376 753958 873004 1507916 1746008 3015832 4146769 7599103 8293538 15198206 16587076 30396412 33174152 60792824 83590133 144382957 167180266 288765914 334360532 577531828 668721064 1155063656 1588212527 3176425054 6352850108 12705700216