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BaseRepresentation
bin100110101101011000…
…000010010001000000
310222021121222202222000
4212231120002101000
51140110221333033
631032145144000
73000660423060
oct465530022100
9128247882860
1041563464768
1116699546291
12807b62b000
133bc4c65847
1420240b13a0
151133dbaa13

41563464768 has 448 divisors, whose sum is σ = 145133568000. Its totient is φ = 11413923840.

The previous prime is 41563464727. The next prime is 41563464791. The reversal of 41563464768 is 86746436514.

41563464768 is a `hidden beast` number, since 4 + 1 + 563 + 4 + 6 + 4 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74619946 + ... + 74620502.

Almost surely, 241563464768 is an apocalyptic number.

41563464768 is a gapful number since it is divisible by the number (48) 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 41563464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72566784000).

41563464768 is an abundant number, since it is smaller than the sum of its proper divisors (103570103232).

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

41563464768 is a wasteful number, since it uses less digits than its factorization.

41563464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 799 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 41563464768 in words is "forty-one billion, five hundred sixty-three million, four hundred sixty-four thousand, seven hundred sixty-eight".