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551920578272 = 25719157825991
BaseRepresentation
bin10000000100000010000…
…01111010111011100000
31221202121021221100221222
420002001001322323200
533020313132001042
61101314313234212
754606051336560
oct10020101727340
91852537840858
10551920578272
111a3082861418
128ab71102968
1340079a77a3b
141c9daa56da0
15e553ded2d2
hex808107aee0

551920578272 has 96 divisors (see below), whose sum is σ = 1315507898880. Its totient is φ = 222660472320.

The previous prime is 551920578271. The next prime is 551920578277. The reversal of 551920578272 is 272875029155.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551920578271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255197 + ... + 1081187.

It is an arithmetic number, because the mean of its divisors is an integer number (13703207280).

Almost surely, 2551920578272 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 551920578272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657753949440).

551920578272 is an abundant number, since it is smaller than the sum of its proper divisors (763587320608).

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

551920578272 is a wasteful number, since it uses less digits than its factorization.

551920578272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826184 (or 826176 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 53.

The spelling of 551920578272 in words is "five hundred fifty-one billion, nine hundred twenty million, five hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 157 224 266 304 314 532 608 628 1064 1099 1256 2128 2198 2512 2983 4256 4396 5024 5966 8792 11932 17584 20881 23864 35168 41762 47728 83524 95456 167048 334096 668192 825991 1651982 3303964 5781937 6607928 11563874 13215856 15693829 23127748 26431712 31387658 46255496 62775316 92510992 109856803 125550632 129680587 185021984 219713606 251101264 259361174 439427212 502202528 518722348 878854424 907764109 1037444696 1757708848 1815528218 2074889392 2463931153 3515417696 3631056436 4149778784 4927862306 7262112872 9855724612 14524225744 17247518071 19711449224 29048451488 34495036142 39422898448 68990072284 78845796896 137980144568 275960289136 551920578272