Search a number
-
+
41112636480 = 2633529316779
BaseRepresentation
bin100110010010100000…
…010000110001000000
310221010012200022211000
4212102200100301000
51133144313331410
630515322252000
72653544433636
oct462240206100
9127105608730
1041112636480
1116488014323
127b74657000
133b52738b46
141dc0279356
151109516dc0
hex992810c40

41112636480 has 896 divisors, whose sum is σ = 159178752000. Its totient is φ = 9963233280.

The previous prime is 41112636463. The next prime is 41112636503. The reversal of 41112636480 is 8463621114.

41112636480 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 2 + 6 + 3 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 520413081 + ... + 520413159.

Almost surely, 241112636480 is an apocalyptic number.

41112636480 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 41112636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79589376000).

41112636480 is an abundant number, since it is smaller than the sum of its proper divisors (118066115520).

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

41112636480 is a wasteful number, since it uses less digits than its factorization.

41112636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41112636480 in words is "forty-one billion, one hundred twelve million, six hundred thirty-six thousand, four hundred eighty".