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41876771552 = 25711194121817
BaseRepresentation
bin100111000000000011…
…001101001011100000
311000002110112102001222
4213000003031023200
51141230423142202
631123220314212
73011513453660
oct470003151340
9130073472058
1041876771552
111683a389310
128148542968
133c44b42385
14205394a1a0
1511516574a2
hex9c00cd2e0

41876771552 has 192 divisors, whose sum is σ = 110842421760. Its totient is φ = 15079219200.

The previous prime is 41876771549. The next prime is 41876771621. The reversal of 41876771552 is 25517767814.

It is a happy number.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 41876771494 and 41876771503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1908548 + ... + 1930364.

It is an arithmetic number, because the mean of its divisors is an integer number (577304280).

Almost surely, 241876771552 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 41876771552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55421210880).

41876771552 is an abundant number, since it is smaller than the sum of its proper divisors (68965650208).

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

41876771552 is a wasteful number, since it uses less digits than its factorization.

41876771552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21905 (or 21897 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 53.

The spelling of 41876771552 in words is "forty-one billion, eight hundred seventy-six million, seven hundred seventy-one thousand, five hundred fifty-two".