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41696336416 = 25723291491873
BaseRepresentation
bin100110110101010010…
…111001101000100000
310222121220000100121011
4212311102321220200
51140343230231131
631053253110304
73004163004010
oct466522715040
9128556010534
1041696336416
1116757549769
1280b8028394
133c16648417
1420379bbc40
1511408b50b1
hex9b54b9a20

41696336416 has 192 divisors, whose sum is σ = 102005568000. Its totient is φ = 16383983616.

The previous prime is 41696336413. The next prime is 41696336419. The reversal of 41696336416 is 61463369614.

It is an interprime number because it is at equal distance from previous prime (41696336413) and next prime (41696336419).

It is a self number, because there is not a number n which added to its sum of digits gives 41696336416.

It is not an unprimeable number, because it can be changed into a prime (41696336411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22260856 + ... + 22262728.

It is an arithmetic number, because the mean of its divisors is an integer number (531279000).

Almost surely, 241696336416 is an apocalyptic number.

41696336416 is a gapful number since it is divisible by the number (46) 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 41696336416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51002784000).

41696336416 is an abundant number, since it is smaller than the sum of its proper divisors (60309231584).

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

41696336416 is a wasteful number, since it uses less digits than its factorization.

41696336416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 49.

The spelling of 41696336416 in words is "forty-one billion, six hundred ninety-six million, three hundred thirty-six thousand, four hundred sixteen".