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663528499920 = 2432511139716637
BaseRepresentation
bin10011010011111010110…
…00010110101011010000
32100102200102221020011200
421221331120112223100
541332401243444140
61224453142311200
765636566122336
oct11517530265320
92312612836150
10663528499920
112364455a38a0
12a871a428500
134a755422270
14241875d3b56
15123d725c030
hex9a7d616ad0

663528499920 has 480 divisors, whose sum is σ = 2621012494464. Its totient is φ = 148306636800.

The previous prime is 663528499897. The next prime is 663528499957. The reversal of 663528499920 is 29994825366.

663528499920 is a `hidden beast` number, since 6 + 6 + 3 + 52 + 8 + 499 + 92 + 0 = 666.

663528499920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99970842 + ... + 99977478.

Almost surely, 2663528499920 is an apocalyptic number.

663528499920 is a gapful number since it is divisible by the number (60) 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 663528499920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310506247232).

663528499920 is an abundant number, since it is smaller than the sum of its proper divisors (1957483994544).

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

663528499920 is a wasteful number, since it uses less digits than its factorization.

663528499920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 663528499920 in words is "six hundred sixty-three billion, five hundred twenty-eight million, four hundred ninety-nine thousand, nine hundred twenty".