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41656680000 = 263454132343
BaseRepresentation
bin100110110010111011…
…100111111001000000
310222112010101121020000
4212302323213321000
51140303102230000
631045315120000
73003201636435
oct466273477100
9128463347200
1041656680000
1116737123271
1280a68a3000
133c0b3720a0
142032617b8c
15113c180000
hex9b2ee7e40

41656680000 has 1400 divisors, whose sum is σ = 177432053568. Its totient is φ = 9580032000.

The previous prime is 41656679983. The next prime is 41656680019. The reversal of 41656680000 is 8665614.

41656680000 is a `hidden beast` number, since 4 + 16 + 566 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 968759979 + ... + 968760021.

Almost surely, 241656680000 is an apocalyptic number.

41656680000 is a gapful number since it is divisible by the number (40) 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 41656680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88716026784).

41656680000 is an abundant number, since it is smaller than the sum of its proper divisors (135775373568).

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

41656680000 is a wasteful number, since it uses less digits than its factorization.

41656680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 41656680000 in words is "forty-one billion, six hundred fifty-six million, six hundred eighty thousand".