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214621202126412 = 223259409247055657
BaseRepresentation
bin110000110011001001100100…
…100000111001011001001100
31001010220120211120221200111100
4300303021210200321121030
5211112323210221021122
62040243341422023100
763130604314643004
oct6063114440713114
91033816746850440
10214621202126412
1162426382489954
12200a303a417a90
13929a900605253
143adda16143004
1519c2bcb381aac
hexc3326483964c

214621202126412 has 72 divisors (see below), whose sum is σ = 553058795998800. Its totient is φ = 70155900523008.

The previous prime is 214621202126389. The next prime is 214621202126449.

214621202126412 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 2 + 1 + 2 + 0 + 2 + 1 + 2 + 641 + 2 = 666.

214621202126412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122659113 + ... + 124396544.

It is an arithmetic number, because the mean of its divisors is an integer number (7681372166650).

Almost surely, 2214621202126412 is an apocalyptic number.

It is an amenable number.

214621202126412 is an abundant number, since it is smaller than the sum of its proper divisors (338437593872388).

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

214621202126412 is a wasteful number, since it uses less digits than its factorization.

214621202126412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247056135 (or 247056130 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 21462120 and 2126412, that added together give a palindrome (23588532).

The spelling of 214621202126412 in words is "two hundred fourteen trillion, six hundred twenty-one billion, two hundred two million, one hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 409 531 708 818 1062 1227 1636 2124 2454 3681 4908 7362 14724 24131 48262 72393 96524 144786 217179 289572 434358 868716 247055657 494111314 741166971 988222628 1482333942 2223500913 2964667884 4447001826 8894003652 14576283763 29152567526 43728851289 58305135052 87457702578 101045763713 131186553867 174915405156 202091527426 262373107734 303137291139 404183054852 524746215468 606274582278 909411873417 1212549164556 1818823746834 3637647493668 5961700059067 11923400118134 17885100177201 23846800236268 35770200354402 53655300531603 71540400708804 107310601063206 214621202126412