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63408891220900 = 225217231215112
BaseRepresentation
bin11100110101011100010000…
…11011111101001110100100
322022111211102122121222112221
432122232020123331032210
531302342402123032100
6342505350435522124
716233066302266411
oct1632561033751644
9268454378558487
1063408891220900
1119227618034025
127141099459344
13294c581aa1284
1411930145ad108
1574e62658101a
hex39ab886fd3a4

63408891220900 has 243 divisors, whose sum is σ = 151134566066211. Its totient is φ = 23086242624000.

The previous prime is 63408891220879. The next prime is 63408891221003. The reversal of 63408891220900 is 902219880436.

The square root of 63408891220900 is 7962970.

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 1483197593956 + 61925693626944 = 1217866^2 + 7869288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41964851145 + ... + 41964852655.

Almost surely, 263408891220900 is an apocalyptic number.

63408891220900 is the 7962970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63408891220900

63408891220900 is an abundant number, since it is smaller than the sum of its proper divisors (87725674845311).

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

63408891220900 is a wasteful number, since it uses less digits than its factorization.

63408891220900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 63408891220900 in words is "sixty-three trillion, four hundred eight billion, eight hundred ninety-one million, two hundred twenty thousand, nine hundred".