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41970482928 = 243211291078539
BaseRepresentation
bin100111000101101000…
…101011111011110000
311000022222212102220200
4213011220223323300
51141423420423203
631140405035200
73014032134663
oct470550537360
9130288772820
1041970482928
1116888275030
1281739b5b00
133c5b3936aa
1420621816da
1511599b89a3
hex9c5a2bef0

41970482928 has 240 divisors, whose sum is σ = 133810185600. Its totient is φ = 12163576320.

The previous prime is 41970482921. The next prime is 41970482933. The reversal of 41970482928 is 82928407914.

41970482928 is a `hidden beast` number, since 4 + 1 + 9 + 70 + 482 + 92 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41970482921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4910883 + ... + 4919421.

It is an arithmetic number, because the mean of its divisors is an integer number (557542440).

Almost surely, 241970482928 is an apocalyptic number.

41970482928 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 41970482928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66905092800).

41970482928 is an abundant number, since it is smaller than the sum of its proper divisors (91839702672).

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

41970482928 is a wasteful number, since it uses less digits than its factorization.

41970482928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 41970482928 in words is "forty-one billion, nine hundred seventy million, four hundred eighty-two thousand, nine hundred twenty-eight".