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44264642004 = 223211111779399
BaseRepresentation
bin101001001110011000…
…001101010111010100
311020020212201210112100
4221032120031113110
51211123222021004
632200200522100
73124630151262
oct511630152724
9136225653470
1044264642004
1117855266770
1286b4180330
13423577207b
1421dcb2d432
1512410d4739
hexa4e60d5d4

44264642004 has 36 divisors (see below), whose sum is σ = 122063104800. Its totient is φ = 13413527760.

The previous prime is 44264641999. The next prime is 44264642011. The reversal of 44264642004 is 40024646244.

44264642004 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 4 + 642 + 0 + 0 + 4 = 666.

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

It is a super-2 number, since 2×442646420042 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44264642004.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55889304 + ... + 55890095.

It is an arithmetic number, because the mean of its divisors is an integer number (3390641800).

Almost surely, 244264642004 is an apocalyptic number.

44264642004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44264642004 is an abundant number, since it is smaller than the sum of its proper divisors (77798462796).

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

44264642004 is a wasteful number, since it uses less digits than its factorization.

44264642004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111779420 (or 111779415 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 44264642004 in words is "forty-four billion, two hundred sixty-four million, six hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 111779399 223558798 335338197 447117596 670676394 1006014591 1229573389 1341352788 2012029182 2459146778 3688720167 4024058364 4918293556 7377440334 11066160501 14754880668 22132321002 44264642004