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41663880960 = 28351321931109
BaseRepresentation
bin100110110011010111…
…000101111100000000
310222112121221110002020
4212303113011330000
51140311423142320
631050133321440
73003320100462
oct466327057400
9128477843066
1041663880960
11167401a1479
1280a9196280
133c0c9c3900
142033570132
15113cb03940
hex9b35c5f00

41663880960 has 864 divisors, whose sum is σ = 157999564800. Its totient is φ = 9316270080.

The previous prime is 41663880953. The next prime is 41663880967. The reversal of 41663880960 is 6908836614.

It is an interprime number because it is at equal distance from previous prime (41663880953) and next prime (41663880967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41663880967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382237386 + ... + 382237494.

Almost surely, 241663880960 is an apocalyptic number.

41663880960 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 41663880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78999782400).

41663880960 is an abundant number, since it is smaller than the sum of its proper divisors (116335683840).

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

41663880960 is a wasteful number, since it uses less digits than its factorization.

41663880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 41663880960 in words is "forty-one billion, six hundred sixty-three million, eight hundred eighty thousand, nine hundred sixty".