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553130020031355 = 325133352072820709
BaseRepresentation
bin111110111000100011001111…
…0010110111100101101111011
32200112110201021010122010111100
41331301012132112330231323
51034444440240112000410
65240224231231102443
7224336216352026664
oct17561063626745573
92615421233563440
10553130020031355
111502761402685a8
1252054378671a23
131a983c249b2b50
149a838c895c36b
1543e32ab7708c0
hex1f7119e5bcb7b

553130020031355 has 48 divisors (see below), whose sum is σ = 1032512816986560. Its totient is φ = 272309254804224.

The previous prime is 553130020031321. The next prime is 553130020031387.

553130020031355 is a `hidden beast` number, since 5 + 5 + 3 + 130 + 0 + 200 + 313 + 5 + 5 = 666.

553130020031355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 553130020031355 - 210 = 553130020030331 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194685741 + ... + 197506449.

It is an arithmetic number, because the mean of its divisors is an integer number (21510683687220).

Almost surely, 2553130020031355 is an apocalyptic number.

553130020031355 is a deficient number, since it is larger than the sum of its proper divisors (479382796955205).

553130020031355 is a wasteful number, since it uses less digits than its factorization.

553130020031355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155940 (or 3155937 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 36.

The spelling of 553130020031355 in words is "five hundred fifty-three trillion, one hundred thirty billion, twenty million, thirty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 335207 1005621 1676035 2820709 3016863 4357691 5028105 8462127 13073073 14103545 15084315 21788455 25386381 36669217 39219219 42310635 65365365 110007651 126931905 183346085 196096095 330022953 550038255 1650114765 945521401763 2836564205289 4727607008815 8509692615867 12291778222919 14182821026445 36875334668757 42548463079335 61458891114595 110626004006271 184376673343785 553130020031355