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551276550400 = 285292812
BaseRepresentation
bin10000000010110101010…
…01001001100100000000
31221200221102002100210211
420001122221021210000
533013003244103100
61101130345403504
754554101235362
oct10013251114400
91850842070724
10551276550400
111a2882271784
128aa11499594
133cca6505164
141c9792ccd32
15e5175d51ba
hex805aa49900

551276550400 has 81 divisors (see below), whose sum is σ = 1364642635363. Its totient is φ = 220486860800.

The previous prime is 551276550371. The next prime is 551276550401. The reversal of 551276550400 is 4055672155.

The square root of 551276550400 is 742480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 51235227904 + 500041322496 = 226352^2 + 707136^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (551276550401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59393760 + ... + 59403040.

Almost surely, 2551276550400 is an apocalyptic number.

551276550400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

551276550400 is the 742480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551276550400

551276550400 is an abundant number, since it is smaller than the sum of its proper divisors (813366084963).

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

551276550400 is an frugal number, since it uses more digits than its factorization.

551276550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18588 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 551276550400 in words is "five hundred fifty-one billion, two hundred seventy-six million, five hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 9281 18562 37124 46405 74248 92810 148496 185620 232025 296992 371240 464050 593984 742480 928100 1187968 1484960 1856200 2375936 2969920 3712400 5939840 7424800 11879680 14849600 29699200 59398400 86136961 172273922 344547844 430684805 689095688 861369610 1378191376 1722739220 2153424025 2756382752 3445478440 4306848050 5512765504 6890956880 8613696100 11025531008 13781913760 17227392200 22051062016 27563827520 34454784400 55127655040 68909568800 110255310080 137819137600 275638275200 551276550400