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49522452144 = 24311229329101
BaseRepresentation
bin101110000111110001…
…001010011010110000
311201211022020020010020
4232013301022122300
51302410221432034
634430022003440
73402132616644
oct560761123260
9151738206106
1049522452144
111a003151300
129720b76580
134892b49229
14257b140c24
15144c9b4249
hexb87c4a6b0

49522452144 has 120 divisors (see below), whose sum is σ = 141105354096. Its totient is φ = 14955072000.

The previous prime is 49522452101. The next prime is 49522452163. The reversal of 49522452144 is 44125422594.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49522452096 and 49522452105.

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 23 ways as a sum of consecutive naturals, for example, 1687194 + ... + 1716294.

Almost surely, 249522452144 is an apocalyptic number.

49522452144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49522452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70552677048).

49522452144 is an abundant number, since it is smaller than the sum of its proper divisors (91582901952).

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

49522452144 is a wasteful number, since it uses less digits than its factorization.

49522452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29427 (or 29410 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 49522452144 in words is "forty-nine billion, five hundred twenty-two million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 293 363 484 528 586 726 879 968 1172 1452 1758 1936 2344 2904 3223 3516 4688 5808 6446 7032 9669 12892 14064 19338 25784 29101 35453 38676 51568 58202 70906 77352 87303 106359 116404 141812 154704 174606 212718 232808 283624 320111 349212 425436 465616 567248 640222 698424 850872 960333 1280444 1396848 1701744 1920666 2560888 3521221 3841332 5121776 7042442 7682664 8526593 10563663 14084884 15365328 17053186 21127326 25579779 28169768 34106372 42254652 51159558 56339536 68212744 84509304 93792523 102319116 136425488 169018608 187585046 204638232 281377569 375170092 409276464 562755138 750340184 1031717753 1125510276 1500680368 2063435506 2251020552 3095153259 4126871012 4502041104 6190306518 8253742024 12380613036 16507484048 24761226072 49522452144