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41869639680 = 22135113
BaseRepresentation
bin100110111111101000…
…000000000000000000
311000001222010001222120
4212333220000000000
51141222111432210
631122403404240
73011366031231
oct467750000000
9130058101876
1041869639680
1116836358000
128146083680
133c4351612b
142052a11088
151150be9270
hex9bfa00000

41869639680 has 352 divisors, whose sum is σ = 147371030208. Its totient is φ = 10150215680.

The previous prime is 41869639649. The next prime is 41869639687. The reversal of 41869639680 is 8693696814.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41869639687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3806330875 + ... + 3806330885.

Almost surely, 241869639680 is an apocalyptic number.

41869639680 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 41869639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73685515104).

41869639680 is an abundant number, since it is smaller than the sum of its proper divisors (105501390528).

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

41869639680 is an frugal number, since it uses more digits than its factorization.

41869639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 41869639680 in words is "forty-one billion, eight hundred sixty-nine million, six hundred thirty-nine thousand, six hundred eighty".