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214626626412 = 223112443333667
BaseRepresentation
bin1100011111100010111…
…1100110101101101100
3202111222200212021220120
43013320233212231230
512004023404021122
6242333105244540
721335435136462
oct3077057465554
9674880767816
10214626626412
1183028154100
123571a033750
13173156ba1c3
14a5608b2832
1558b25d475c
hex31f8be6b6c

214626626412 has 72 divisors (see below), whose sum is σ = 551705356608. Its totient is φ = 64891363680.

The previous prime is 214626626363. The next prime is 214626626483.

214626626412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476403 + ... + 810069.

Almost surely, 2214626626412 is an apocalyptic number.

214626626412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214626626412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275852678304).

214626626412 is an abundant number, since it is smaller than the sum of its proper divisors (337078730196).

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

214626626412 is a wasteful number, since it uses less digits than its factorization.

214626626412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334139 (or 334126 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 214 and 626626412, that added together give a palindrome (626626626).

The spelling of 214626626412 in words is "two hundred fourteen billion, six hundred twenty-six million, six hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 443 484 726 886 1329 1452 1772 2658 4873 5316 9746 14619 19492 29238 53603 58476 107206 160809 214412 321618 333667 643236 667334 1001001 1334668 2002002 3670337 4004004 7340674 11011011 14681348 22022022 40373707 44044044 80747414 121121121 147814481 161494828 242242242 295628962 443443443 484484484 591257924 886886886 1625959291 1773773772 3251918582 4877877873 6503837164 9755755746 17885552201 19511511492 35771104402 53656656603 71542208804 107313313206 214626626412