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41022148608 = 212327433697
BaseRepresentation
bin100110001101000111…
…000101000000000000
310220212220102001210100
4212031013011000000
51133003132223413
630502331002400
72651365336620
oct461507050000
9126786361710
1041022148608
1116440a2a461
127b4a299400
133b39a75b1c
141db2242880
1511015e0a73
hex98d1c5000

41022148608 has 312 divisors, whose sum is σ = 138608495168. Its totient is φ = 11444944896.

The previous prime is 41022148511. The next prime is 41022148619. The reversal of 41022148608 is 80684122014.

41022148608 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 2 + 1 + 48 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 11094216 + ... + 11097912.

Almost surely, 241022148608 is an apocalyptic number.

41022148608 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 41022148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69304247584).

41022148608 is an abundant number, since it is smaller than the sum of its proper divisors (97586346560).

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

41022148608 is a wasteful number, since it uses less digits than its factorization.

41022148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 41022148608 in words is "forty-one billion, twenty-two million, one hundred forty-eight thousand, six hundred eight".