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41696914320 = 2435512716889
BaseRepresentation
bin100110110101010101…
…000110101110010000
310222121221002201100000
4212311111012232100
51140343402224240
631053313330000
73004200631605
oct466525065620
9128557081300
1041696914320
1116757903976
1280b8266900
133c167bb489
142037acc6ac
15114097b430
hex9b5546b90

41696914320 has 240 divisors, whose sum is σ = 146370631680. Its totient is φ = 11030971392.

The previous prime is 41696914313. The next prime is 41696914327. The reversal of 41696914320 is 2341969614.

41696914320 is a `hidden beast` number, since 41 + 6 + 96 + 91 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41696914313) and next prime (41696914327).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41696914327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2460436 + ... + 2477324.

It is an arithmetic number, because the mean of its divisors is an integer number (609877632).

Almost surely, 241696914320 is an apocalyptic number.

41696914320 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 41696914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73185315840).

41696914320 is an abundant number, since it is smaller than the sum of its proper divisors (104673717360).

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

41696914320 is a wasteful number, since it uses less digits than its factorization.

41696914320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17044 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 41696914320 in words is "forty-one billion, six hundred ninety-six million, nine hundred fourteen thousand, three hundred twenty".