Search a number
-
+
54379568448 = 2632175553469
BaseRepresentation
bin110010101001010001…
…100101110101000000
312012100210202022002200
4302221101211311000
51342332132142243
640552010513200
73633401463612
oct625121456500
9165323668080
1054379568448
1121075937707
12a657735800
1351881cb04a
1428bc24adb2
1516340e4ad3
hexca9465d40

54379568448 has 84 divisors (see below), whose sum is σ = 165038021460. Its totient is φ = 17060253696.

The previous prime is 54379568423. The next prime is 54379568489. The reversal of 54379568448 is 84486597345.

54379568448 is a `hidden beast` number, since 5 + 43 + 7 + 95 + 68 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37252088064 + 17127480384 = 193008^2 + 130872^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2766943 + ... + 2786526.

Almost surely, 254379568448 is an apocalyptic number.

It is an amenable number.

54379568448 is an abundant number, since it is smaller than the sum of its proper divisors (110658453012).

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

54379568448 is a wasteful number, since it uses less digits than its factorization.

54379568448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553504 (or 5553491 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 54379568448 in words is "fifty-four billion, three hundred seventy-nine million, five hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 5553469 11106938 16660407 22213876 33320814 44427752 49981221 66641628 88855504 94408973 99962442 133283256 177711008 188817946 199924884 266566512 283226919 355422016 377635892 399849768 533133024 566453838 755271784 799699536 849680757 1066266048 1132907676 1510543568 1599399072 1699361514 2265815352 3021087136 3198798144 3398723028 4531630704 6042174272 6797446056 9063261408 13594892112 18126522816 27189784224 54379568448