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54244388128 = 2573719733223
BaseRepresentation
bin110010100001001101…
…111010110100100000
312012000101101102120011
4302201031322310200
51342043030410003
640530341254304
73630140456110
oct624115726440
9165011342504
1054244388128
11210065a7737
12a61a404394
1351661ba6a8
1428a82dd040
1516272e146d
hexca137ad20

54244388128 has 96 divisors (see below), whose sum is σ = 125988597504. Its totient is φ = 22503785472.

The previous prime is 54244388047. The next prime is 54244388153. The reversal of 54244388128 is 82188344245.

It is a super-2 number, since 2×542443881282 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1616125 + ... + 1649347.

It is an arithmetic number, because the mean of its divisors is an integer number (1312381224).

Almost surely, 254244388128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54244388128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62994298752).

54244388128 is an abundant number, since it is smaller than the sum of its proper divisors (71744209376).

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

54244388128 is a wasteful number, since it uses less digits than its factorization.

54244388128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33474 (or 33466 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 49.

The spelling of 54244388128 in words is "fifty-four billion, two hundred forty-four million, three hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 197 224 259 296 394 518 592 788 1036 1184 1379 1576 2072 2758 3152 4144 5516 6304 7289 8288 11032 14578 22064 29156 33223 44128 51023 58312 66446 102046 116624 132892 204092 232561 233248 265784 408184 465122 531568 816368 930244 1063136 1229251 1632736 1860488 2458502 3720976 4917004 6544931 7441952 8604757 9834008 13089862 17209514 19668016 26179724 34419028 39336032 45814517 52359448 68838056 91629034 104718896 137676112 183258068 209437792 242162447 275352224 366516136 484324894 733032272 968649788 1466064544 1695137129 1937299576 3390274258 3874599152 6780548516 7749198304 13561097032 27122194064 54244388128