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412050050214 = 23117197906517
BaseRepresentation
bin1011111111100000001…
…10001100110010100110
31110101120110212100022220
411333300012030302212
523222334303101324
6513143154333210
741524661431515
oct5776006146246
91411513770286
10412050050214
11149827569490
1267a3688a206
132cb18c7807a
1415d2c6cc67c
15aab9753b79
hex5ff018cca6

412050050214 has 64 divisors (see below), whose sum is σ = 921080305152. Its totient is φ = 121835750400.

The previous prime is 412050050141. The next prime is 412050050219.

412050050214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412050050219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1284 + ... + 907800.

It is an arithmetic number, because the mean of its divisors is an integer number (14391879768).

Almost surely, 2412050050214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412050050214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460540152576).

412050050214 is an abundant number, since it is smaller than the sum of its proper divisors (509030254938).

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

412050050214 is a wasteful number, since it uses less digits than its factorization.

412050050214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906701.

The product of its (nonzero) digits is 1600, while the sum is 24.

It can be divided in two parts, 4120500 and 50214, that added together give a palindrome (4170714).

The spelling of 412050050214 in words is "four hundred twelve billion, fifty million, fifty thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 71 97 142 194 213 291 426 582 781 1067 1562 2134 2343 3201 4686 6402 6887 13774 20661 41322 75757 151514 227271 454542 906517 1813034 2719551 5439102 9971687 19943374 29915061 59830122 64362707 87932149 128725414 175864298 193088121 263796447 386176242 527592894 707989777 967253639 1415979554 1934507278 2123969331 2901760917 4247938662 5803521834 6243182579 12486365158 18729547737 37459095474 68675008369 137350016738 206025025107 412050050214