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553060406340 = 22325131318717923
BaseRepresentation
bin10000000110001001111…
…10000001010001000100
31221212112201201122010100
420003010332001101010
533030131431000330
61102023351524100
754646231613511
oct10030476012104
91855481648110
10553060406340
111a36081aa092
128b22a989630
13401cbc61c10
141caa81a2308
15e5be000060
hex80c4f81444

553060406340 has 144 divisors (see below), whose sum is σ = 1806901806528. Its totient is φ = 136120027392.

The previous prime is 553060406321. The next prime is 553060406351. The reversal of 553060406340 is 43604060355.

553060406340 is a `hidden beast` number, since 5 + 5 + 3 + 0 + 604 + 0 + 6 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 553060406295 and 553060406304.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30848619 + ... + 30866541.

It is an arithmetic number, because the mean of its divisors is an integer number (12547929212).

Almost surely, 2553060406340 is an apocalyptic number.

It is an amenable number.

553060406340 is an abundant number, since it is smaller than the sum of its proper divisors (1253841400188).

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

553060406340 is a wasteful number, since it uses less digits than its factorization.

553060406340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31138 (or 31133 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 553060406340 its reverse (43604060355), we get a palindrome (596664466695).

The spelling of 553060406340 in words is "five hundred fifty-three billion, sixty million, four hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 13187 17923 26374 35846 39561 52748 53769 65935 71692 79122 89615 107538 118683 131870 158244 161307 171431 179230 197805 215076 232999 237366 263740 268845 322614 342862 358460 395610 465998 474732 514293 537690 593415 645228 685724 698997 791220 806535 857155 931996 1028586 1075380 1164995 1186830 1397994 1542879 1613070 1714310 2057172 2096991 2329990 2373660 2571465 2795988 3085758 3226140 3428620 3494985 4193982 4659980 5142930 6171516 6989970 7714395 8387964 10285860 10484955 13979940 15428790 20969910 30857580 41939820 236350601 472701202 709051803 945402404 1181753005 1418103606 2127155409 2363506010 2836207212 3072557813 3545259015 4254310818 4727012020 6145115626 7090518030 8508621636 9217673439 10635777045 12290231252 14181036060 15362789065 18435346878 21271554090 27653020317 30725578130 36870693756 42543108180 46088367195 55306040634 61451156260 92176734390 110612081268 138265101585 184353468780 276530203170 553060406340