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41005279980 = 223257234134511
BaseRepresentation
bin100110001100000110…
…101110101011101100
310220211201200001101100
4212030012232223230
51132434322424410
630500525243100
72651102062140
oct461406565354
9126751601340
1041005279980
1116432458845
127b44703490
133b3641aaa2
141dadcd1220
1510eedac8c0
hex98c1aeaec

41005279980 has 288 divisors, whose sum is σ = 151954403328. Its totient is φ = 8746214400.

The previous prime is 41005279969. The next prime is 41005280047. The reversal of 41005279980 is 8997250014.

41005279980 is a `hidden beast` number, since 41 + 0 + 0 + 527 + 9 + 9 + 80 = 666.

41005279980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1170925 + ... + 1205435.

It is an arithmetic number, because the mean of its divisors is an integer number (527619456).

Almost surely, 241005279980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41005279980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75977201664).

41005279980 is an abundant number, since it is smaller than the sum of its proper divisors (110949123348).

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

41005279980 is a wasteful number, since it uses less digits than its factorization.

41005279980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34597 (or 34592 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 41005279980 in words is "forty-one billion, five million, two hundred seventy-nine thousand, nine hundred eighty".