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63668293920 = 2537571117139
BaseRepresentation
bin111011010010111011…
…010001000100100000
320002100011010110000000
4323102323101010200
52020343040401140
645125424300000
74412521366110
oct732273210440
9202304113000
1063668293920
1125002101630
121040a471600
13600872c3ca
14311db3d040
1519c9804a30
hexed2ed1120

63668293920 has 1536 divisors, whose sum is σ = 299942092800. Its totient is φ = 12361973760.

The previous prime is 63668293907. The next prime is 63668293943. The reversal of 63668293920 is 2939286636.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 458045211 + ... + 458045349.

It is an arithmetic number, because the mean of its divisors is an integer number (195274800).

Almost surely, 263668293920 is an apocalyptic number.

63668293920 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 63668293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149971046400).

63668293920 is an abundant number, since it is smaller than the sum of its proper divisors (236273798880).

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

63668293920 is a wasteful number, since it uses less digits than its factorization.

63668293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 63668293920 in words is "sixty-three billion, six hundred sixty-eight million, two hundred ninety-three thousand, nine hundred twenty".