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552240055584 = 253472172511019
BaseRepresentation
bin10000000100101000001…
…00101000010100100000
31221210102120002111110000
420002110010220110200
533021441423234314
61101410124540000
754620011010400
oct10022404502440
91853376074400
10552240055584
111a3227129458
128b0400b1600
13400cb005079
141ca2b25a800
15e571ea8209
hex8094128520

552240055584 has 720 divisors, whose sum is σ = 2010360733920. Its totient is φ = 147764736000.

The previous prime is 552240055547. The next prime is 552240055589. The reversal of 552240055584 is 485550042255.

552240055584 is a `hidden beast` number, since 5 + 5 + 22 + 40 + 0 + 5 + 5 + 584 = 666.

It is not an unprimeable number, because it can be changed into a prime (552240055589) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 541942627 + ... + 541943645.

It is an arithmetic number, because the mean of its divisors is an integer number (2792167686).

Almost surely, 2552240055584 is an apocalyptic number.

552240055584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552240055584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005180366960).

552240055584 is an abundant number, since it is smaller than the sum of its proper divisors (1458120678336).

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

552240055584 is a wasteful number, since it uses less digits than its factorization.

552240055584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

The spelling of 552240055584 in words is "five hundred fifty-two billion, two hundred forty million, fifty-five thousand, five hundred eighty-four".