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22412314413396 = 22325945310471537
BaseRepresentation
bin1010001100010010001100…
…00010100000100101010100
32221100121002201121202001200
411012021012002200211110
510414200404442212041
6115400024115552500
74502144021144565
oct506110602404524
987317081552050
1022412314413396
117161011220276
12261b7a68bb730
13c6761a4c438b
14576a9457416c
1528cee08d71b6
hex1462460a0954

22412314413396 has 36 divisors (see below), whose sum is σ = 56654308642932. Its totient is φ = 7470645099264.

The previous prime is 22412314413389. The next prime is 22412314413427. The reversal of 22412314413396 is 69331441321422.

22412314413396 is a `hidden beast` number, since 2 + 2 + 41 + 231 + 4 + 41 + 339 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20055045497796 + 2357268915600 = 4478286^2 + 1535340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×224123144133964 (a number of 55 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3095461 + ... + 7376076.

It is an arithmetic number, because the mean of its divisors is an integer number (1573730795637).

Almost surely, 222412314413396 is an apocalyptic number.

It is an amenable number.

22412314413396 is an abundant number, since it is smaller than the sum of its proper divisors (34241994229536).

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

22412314413396 is a wasteful number, since it uses less digits than its factorization.

22412314413396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531000 (or 10530995 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 22412314413396 in words is "twenty-two trillion, four hundred twelve billion, three hundred fourteen million, four hundred thirteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 59453 118906 178359 237812 356718 535077 713436 1070154 2140308 10471537 20943074 31414611 41886148 62829222 94243833 125658444 188487666 376975332 622564289261 1245128578522 1867692867783 2490257157044 3735385735566 5603078603349 7470771471132 11206157206698 22412314413396