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41097707520 = 21435433889
BaseRepresentation
bin100110010001100111…
…010100000000000000
310221002011120212010120
4212101213110000000
51133132003120040
630514030300240
72653303515162
oct462147240000
9127064525116
1041097707520
111647a647a41
127b6b657680
133b4c60c93c
141dbc2b0932
1511080687d0
hex9919d4000

41097707520 has 240 divisors, whose sum is σ = 134601593280. Its totient is φ = 10701766656.

The previous prime is 41097707513. The next prime is 41097707543. The reversal of 41097707520 is 2570779014.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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, 10565736 + ... + 10569624.

It is an arithmetic number, because the mean of its divisors is an integer number (560839972).

Almost surely, 241097707520 is an apocalyptic number.

41097707520 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 41097707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67300796640).

41097707520 is an abundant number, since it is smaller than the sum of its proper divisors (93503885760).

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

41097707520 is an equidigital number, since it uses as much as digits as its factorization.

41097707520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 41097707520 in words is "forty-one billion, ninety-seven million, seven hundred seven thousand, five hundred twenty".