Search a number
-
+
41916765120 = 2635671733767
BaseRepresentation
bin100111000010011011…
…110001001111000000
311000012020210021221020
4213002123301033000
51141321142440440
631131205425440
73012510424206
oct470233611700
9130166707836
1041916765120
111685aa1504a
128159a0b280
133c50205cc9
142058d9b076
151154e073d0
hex9c26f13c0

41916765120 has 224 divisors, whose sum is σ = 135888910848. Its totient is φ = 10944417792.

The previous prime is 41916765119. The next prime is 41916765169. The reversal of 41916765120 is 2156761914.

It is a super-2 number, since 2×419167651202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11125477 + ... + 11129243.

Almost surely, 241916765120 is an apocalyptic number.

41916765120 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 41916765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67944455424).

41916765120 is an abundant number, since it is smaller than the sum of its proper divisors (93972145728).

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

41916765120 is a wasteful number, since it uses less digits than its factorization.

41916765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 41916765120 in words is "forty-one billion, nine hundred sixteen million, seven hundred sixty-five thousand, one hundred twenty".