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41113239552 = 214337111771
BaseRepresentation
bin100110010010100010…
…100100000000000000
310221010020210222002000
4212102202210000000
51133144442131202
630515343224000
72653552525110
oct462242440000
9127106728060
1041113239552
1116488396430
127b748a8000
133b528ba4a8
141dc0395040
1511095d591c
hex9928a4000

41113239552 has 960 divisors, whose sum is σ = 163069562880. Its totient is φ = 9909043200.

The previous prime is 41113239511. The next prime is 41113239649. The reversal of 41113239552 is 25593231114.

It is a happy number.

41113239552 is a `hidden beast` number, since 41 + 1 + 1 + 32 + 39 + 552 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 579059677 + ... + 579059747.

It is an arithmetic number, because the mean of its divisors is an integer number (169864128).

Almost surely, 241113239552 is an apocalyptic number.

41113239552 is a gapful number since it is divisible by the number (42) 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 41113239552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81534781440).

41113239552 is an abundant number, since it is smaller than the sum of its proper divisors (121956323328).

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

41113239552 is a wasteful number, since it uses less digits than its factorization.

41113239552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 41113239552 in words is "forty-one billion, one hundred thirteen million, two hundred thirty-nine thousand, five hundred fifty-two".