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41954923016644 = 221124124321672
BaseRepresentation
bin10011000101000011001000…
…10010000111000111000100
312111112211222201110211220111
421202201210102013013010
520444342140243013034
6225121454153042404
711560100050363201
oct1142414422070704
9174484881424814
1041954923016644
1112405a8a30a100
12485718a9b6404
131a54441ca5701
14a508b43baca8
154cb525651364
hex2628644871c4

41954923016644 has 243 divisors, whose sum is σ = 85197490848813. Its totient is φ = 18063788265600.

The previous prime is 41954923016597. The next prime is 41954923016681. The reversal of 41954923016644 is 44661032945914.

It is a happy number.

The square root of 41954923016644 is 6477262.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2021623298244 + 39933299718400 = 1421838^2 + 6319280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 251227083849 + ... + 251227084015.

Almost surely, 241954923016644 is an apocalyptic number.

41954923016644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

41954923016644 is the 6477262-nd square number.

It is an amenable number.

41954923016644 is an abundant number, since it is smaller than the sum of its proper divisors (43242567832169).

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

41954923016644 is a wasteful number, since it uses less digits than its factorization.

41954923016644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 41954923016644 in words is "forty-one trillion, nine hundred fifty-four billion, nine hundred twenty-three million, sixteen thousand, six hundred forty-four".