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54813399456 = 2533135352177
BaseRepresentation
bin110011000011001000…
…100001100110100000
312020111001002012100210
4303003020201212200
51344224212240311
641103025214120
73650220131214
oct630310414640
9166431065323
1054813399456
112127880a332
12a758a91340
13522705629a
14291dada944
15165c23c3a6
hexcc32219a0

54813399456 has 96 divisors (see below), whose sum is σ = 148950240768. Its totient is φ = 17631313920.

The previous prime is 54813399439. The next prime is 54813399457. The reversal of 54813399456 is 65499331845.

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

It is a junction number, because it is equal to n+sod(n) for n = 54813399396 and 54813399405.

It is not an unprimeable number, because it can be changed into a prime (54813399457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024440 + ... + 1076616.

It is an arithmetic number, because the mean of its divisors is an integer number (1551565008).

Almost surely, 254813399456 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 54813399456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74475120384).

54813399456 is an abundant number, since it is smaller than the sum of its proper divisors (94136841312).

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

54813399456 is a wasteful number, since it uses less digits than its factorization.

54813399456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52574 (or 52566 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 57.

The spelling of 54813399456 in words is "fifty-four billion, eight hundred thirteen million, three hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 353 372 496 706 744 992 1059 1412 1488 2118 2824 2976 4236 5648 8472 10943 11296 16944 21886 32829 33888 43772 52177 65658 87544 104354 131316 156531 175088 208708 262632 313062 350176 417416 525264 626124 834832 1050528 1252248 1617487 1669664 2504496 3234974 4852461 5008992 6469948 9704922 12939896 18418481 19409844 25879792 36836962 38819688 51759584 55255443 73673924 77639376 110510886 147347848 155278752 221021772 294695696 442043544 570972911 589391392 884087088 1141945822 1712918733 1768174176 2283891644 3425837466 4567783288 6851674932 9135566576 13703349864 18271133152 27406699728 54813399456