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5529388541040 = 24325713534993191
BaseRepresentation
bin101000001110110100100…
…1111010110010001110000
3201120121022121001102000200
41100131221033112101300
51211043141431303130
615432055510115200
71110325255054260
oct120355117262160
921517277042020
105529388541040
111842000753901
1275377104bb00
1331155a9c88a0
141518a3b277a0
1598c7344a760
hex507693d6470

5529388541040 has 960 divisors, whose sum is σ = 23340006144000. Its totient is φ = 1141976309760.

The previous prime is 5529388541003. The next prime is 5529388541077. The reversal of 5529388541040 is 401458839255.

5529388541040 is a `hidden beast` number, since 5 + 5 + 2 + 93 + 8 + 8 + 541 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5529388541003) and next prime (5529388541077).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1732805845 + ... + 1732809035.

It is an arithmetic number, because the mean of its divisors is an integer number (24312506400).

Almost surely, 25529388541040 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 5529388541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670003072000).

5529388541040 is an abundant number, since it is smaller than the sum of its proper divisors (17810617602960).

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

5529388541040 is a wasteful number, since it uses less digits than its factorization.

5529388541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5529388541040 in words is "five trillion, five hundred twenty-nine billion, three hundred eighty-eight million, five hundred forty-one thousand, forty".