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104638941444 = 223312333120569
BaseRepresentation
bin110000101110011110…
…1111000100100000100
3101000002110121222120210
41201130331320210010
53203300032111234
6120023115355420
710363023220062
oct1413475704404
9330073558523
10104638941444
1140416a55504
1218343452b70
139b379127cb
1450c91b7032
152ac6620be9
hex185cf78904

104638941444 has 48 divisors (see below), whose sum is σ = 252143700480. Its totient is φ = 33739749120.

The previous prime is 104638941443. The next prime is 104638941497. The reversal of 104638941444 is 444149836401.

It is a junction number, because it is equal to n+sod(n) for n = 104638941393 and 104638941402.

It is not an unprimeable number, because it can be changed into a prime (104638941443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807592 + ... + 928160.

It is an arithmetic number, because the mean of its divisors is an integer number (5252993760).

Almost surely, 2104638941444 is an apocalyptic number.

It is an amenable number.

104638941444 is an abundant number, since it is smaller than the sum of its proper divisors (147504759036).

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

104638941444 is a wasteful number, since it uses less digits than its factorization.

104638941444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122940 (or 122938 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 104638941444 in words is "one hundred four billion, six hundred thirty-eight million, nine hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 2333 4666 6999 9332 13998 27996 72323 120569 144646 216969 241138 289292 361707 433938 482276 723414 867876 1446828 3737639 7475278 11212917 14950556 22425834 44851668 281287477 562574954 843862431 1125149908 1687724862 3375449724 8719911787 17439823574 26159735361 34879647148 52319470722 104638941444