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41325656640 = 2635192398507
BaseRepresentation
bin100110011111001100…
…110111101001000000
310221200001111212112120
4212133030313221000
51134113332003030
630552412124240
72662042166652
oct463714675100
9127601455476
1041325656640
111658728a544
128013a66680
133b87901588
14200068a6d2
15111d094010
hex99f337a40

41325656640 has 224 divisors, whose sum is σ = 144121144320. Its totient is φ = 9986144256.

The previous prime is 41325656639. The next prime is 41325656653. The reversal of 41325656640 is 4665652314.

41325656640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41325656592 and 41325656601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370267 + ... + 468773.

Almost surely, 241325656640 is an apocalyptic number.

41325656640 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 41325656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72060572160).

41325656640 is an abundant number, since it is smaller than the sum of its proper divisors (102795487680).

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

41325656640 is a wasteful number, since it uses less digits than its factorization.

41325656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98569 (or 98559 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 41325656640 in words is "forty-one billion, three hundred twenty-five million, six hundred fifty-six thousand, six hundred forty".