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54336019752 = 23337172113913
BaseRepresentation
bin110010100110101011…
…011101110100101000
312012020202210210112000
4302212223131310220
51342240010113002
640543413251000
73632332355520
oct624653356450
9165222723460
1054336019752
11210532a2953
12a645033a60
13517c1911a1
1428b6552680
15163039161c
hexca6addd28

54336019752 has 128 divisors (see below), whose sum is σ = 182642169600. Its totient is φ = 14611359744.

The previous prime is 54336019721. The next prime is 54336019753. The reversal of 54336019752 is 25791063345.

54336019752 is a `hidden beast` number, since 5 + 4 + 33 + 601 + 9 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54336019698 and 54336019707.

It is not an unprimeable number, because it can be changed into a prime (54336019753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031253 + ... + 1082660.

It is an arithmetic number, because the mean of its divisors is an integer number (1426891950).

Almost surely, 254336019752 is an apocalyptic number.

It is an amenable number.

54336019752 is an abundant number, since it is smaller than the sum of its proper divisors (128306149848).

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

54336019752 is a wasteful number, since it uses less digits than its factorization.

54336019752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113952 (or 2113942 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 54336019752 in words is "fifty-four billion, three hundred thirty-six million, nineteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 25704 2113913 4227826 6341739 8455652 12683478 14797391 16911304 19025217 25366956 29594782 35936521 38050434 44392173 50733912 57075651 59189564 71873042 76100868 88784346 107809563 114151302 118379128 133176519 143746084 152201736 177568692 215619126 228302604 251555647 266353038 287492168 323428689 355137384 399529557 431238252 456605208 503111294 532706076 646857378 754666941 799059114 862476504 970286067 1006222588 1065412152 1293714756 1509333882 1598118228 1940572134 2012445176 2264000823 2587429512 3018667764 3196236456 3881144268 4528001646 6037335528 6792002469 7762288536 9056003292 13584004938 18112006584 27168009876 54336019752