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54242020352 = 2101331131441
BaseRepresentation
bin110010100001000100…
…111000110000000000
312012000012221010120202
4302201010320300000
51342041424122402
640530214424332
73630111365012
oct624104706000
9165005833522
1054242020352
112100522a7a3
12a6196620a8
13516586ba40
1428a7c841b2
151626ec4b02
hexca1138c00

54242020352 has 88 divisors (see below), whose sum is σ = 120539674752. Its totient is φ = 24227020800.

The previous prime is 54242020303. The next prime is 54242020379. The reversal of 54242020352 is 25302024245.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346952 + ... + 478392.

Almost surely, 254242020352 is an apocalyptic number.

54242020352 is a gapful number since it is divisible by the number (52) 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 54242020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60269837376).

54242020352 is an abundant number, since it is smaller than the sum of its proper divisors (66297654400).

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

54242020352 is a wasteful number, since it uses less digits than its factorization.

54242020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131505 (or 131487 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 54242020352 its reverse (25302024245), we get a palindrome (79544044597).

The spelling of 54242020352 in words is "fifty-four billion, two hundred forty-two million, twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 3224 3328 3968 6448 6656 7936 12896 13312 15872 25792 31744 51584 103168 131441 206336 262882 412672 525764 1051528 1708733 2103056 3417466 4074671 4206112 6834932 8149342 8412224 13669864 16298684 16824448 27339728 32597368 33648896 52970723 54679456 65194736 67297792 105941446 109358912 130389472 134595584 211882892 218717824 260778944 423765784 437435648 521557888 847531568 874871296 1043115776 1695063136 1749742592 2086231552 3390126272 4172463104 6780252544 13560505088 27121010176 54242020352