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54320552304 = 2434767359377
BaseRepresentation
bin110010100101110000…
…011101100101110000
312012012200200222011120
4302211300131211300
51342222030133204
640542101542240
73632054035104
oct624560354560
9165180628146
1054320552304
1121045598a37
12a63ba14980
135178c06b55
1428b4487904
15162dd386d9
hexca5c1d970

54320552304 has 80 divisors (see below), whose sum is σ = 145453214208. Its totient is φ = 17457048576.

The previous prime is 54320552287. The next prime is 54320552317. The reversal of 54320552304 is 40325502345.

It is a happy number.

It is a super-2 number, since 2×543205523042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28537 + ... + 330840.

Almost surely, 254320552304 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 54320552304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72726607104).

54320552304 is an abundant number, since it is smaller than the sum of its proper divisors (91132661904).

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

54320552304 is a wasteful number, since it uses less digits than its factorization.

54320552304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359502 (or 359496 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 54320552304 in words is "fifty-four billion, three hundred twenty million, five hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 67 94 134 141 188 201 268 282 376 402 536 564 752 804 1072 1128 1608 2256 3149 3216 6298 9447 12596 18894 25192 37788 50384 75576 151152 359377 718754 1078131 1437508 2156262 2875016 4312524 5750032 8625048 16890719 17250096 24078259 33781438 48156518 50672157 67562876 72234777 96313036 101344314 135125752 144469554 192626072 202688628 270251504 288939108 385252144 405377256 577878216 810754512 1131678173 1155756432 2263356346 3395034519 4526712692 6790069038 9053425384 13580138076 18106850768 27160276152 54320552304