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44928863136 = 2533232260913
BaseRepresentation
bin101001110101111110…
…000000101110100000
311021222011120201122000
4221311332000232200
51214003242110021
632350125244000
73150244015113
oct516576005640
9137864521560
1044928863136
1118066198953
12885a703600
134310265021
14226303257a
15127e58ab26
hexa75f80ba0

44928863136 has 96 divisors (see below), whose sum is σ = 136740078720. Its totient is φ = 14325138432.

The previous prime is 44928863107. The next prime is 44928863179. The reversal of 44928863136 is 63136882944.

44928863136 is a `hidden beast` number, since 4 + 49 + 288 + 6 + 313 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

44928863136 is a modest number, since divided by 863136 gives 44928 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 1110585 + ... + 1150328.

It is an arithmetic number, because the mean of its divisors is an integer number (1424375820).

Almost surely, 244928863136 is an apocalyptic number.

44928863136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

44928863136 is an abundant number, since it is smaller than the sum of its proper divisors (91811215584).

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

44928863136 is a wasteful number, since it uses less digits than its factorization.

44928863136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260955 (or 2260941 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 44928863136 in words is "forty-four billion, nine hundred twenty-eight million, eight hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 2260913 4521826 6782739 9043652 13565478 18087304 20348217 27130956 36174608 40696434 52000999 54261912 61044651 72349216 81392868 104001998 108523824 122089302 156002997 162785736 208003996 217047648 244178604 312005994 325571472 416007992 468008991 488357208 624011988 651142944 832015984 936017982 976714416 1248023976 1404026973 1664031968 1872035964 1953428832 2496047952 2808053946 3744071928 4992095904 5616107892 7488143856 11232215784 14976287712 22464431568 44928863136