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41150200608 = 25341119372053
BaseRepresentation
bin100110010100101111…
…100011101100100000
310221012211100210010000
4212110233203230200
51133233422404413
630523143340000
72654511635226
oct462457435440
9127184323100
1041150200608
11164a7240860
127b85151600
133b5a45ba3a
141dc5256b16
15110c987073
hex994be3b20

41150200608 has 480 divisors, whose sum is σ = 142797695040. Its totient is φ = 11488573440.

The previous prime is 41150200603. The next prime is 41150200613. The reversal of 41150200608 is 80600205114.

41150200608 is a `hidden beast` number, since 4 + 1 + 1 + 50 + 2 + 0 + 0 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (41150200603) and next prime (41150200613).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41150200603) 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 79 ways as a sum of consecutive naturals, for example, 20042910 + ... + 20044962.

It is an arithmetic number, because the mean of its divisors is an integer number (297495198).

Almost surely, 241150200608 is an apocalyptic number.

41150200608 is a gapful number since it is divisible by the number (48) 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 41150200608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71398847520).

41150200608 is an abundant number, since it is smaller than the sum of its proper divisors (101647494432).

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

41150200608 is a wasteful number, since it uses less digits than its factorization.

41150200608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 41150200608 in words is "forty-one billion, one hundred fifty million, two hundred thousand, six hundred eight".