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11446005622632 = 2337659103385411
BaseRepresentation
bin1010011010001111101100…
…0110010110011101101000
31111112020010210220211021120
42212203323012112131220
53000012404414411012
640202120011535240
72260642455342120
oct246437306263550
944466123824246
1011446005622632
113713250860539
12134a39015a520
1365047a0cb9b9
142b7dbd779c80
1514cb0be3358c
hexa68fb196768

11446005622632 has 64 divisors (see below), whose sum is σ = 32752498521600. Its totient is φ = 3265324789440.

The previous prime is 11446005622631. The next prime is 11446005622673. The reversal of 11446005622632 is 23622650064411.

It is a happy number.

It is a super-2 number, since 2×114460056226322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11446005622631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51581994 + ... + 51803417.

It is an arithmetic number, because the mean of its divisors is an integer number (511757789400).

Almost surely, 211446005622632 is an apocalyptic number.

11446005622632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11446005622632 is an abundant number, since it is smaller than the sum of its proper divisors (21306492898968).

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

11446005622632 is a wasteful number, since it uses less digits than its factorization.

11446005622632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103386086 (or 103386082 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 11446005622632 in words is "eleven trillion, four hundred forty-six billion, five million, six hundred twenty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 659 1318 1977 2636 3954 4613 5272 7908 9226 13839 15816 18452 27678 36904 55356 110712 103385411 206770822 310156233 413541644 620312466 723697877 827083288 1240624932 1447395754 2171093631 2481249864 2894791508 4342187262 5789583016 8684374524 17368749048 68130985849 136261971698 204392957547 272523943396 408785915094 476916900943 545047886792 817571830188 953833801886 1430750702829 1635143660376 1907667603772 2861501405658 3815335207544 5723002811316 11446005622632