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41681552800 = 255252101941
BaseRepresentation
bin100110110100011010…
…100000010110100000
310222120212012021021211
4212310122200112200
51140330434142200
631052004155504
73003623232046
oct466432402640
9128525167254
1041681552800
111674a1715a8
1280b3098b94
133c13570414
142035a50396
15113e444aba
hex9b46a05a0

41681552800 has 36 divisors (see below), whose sum is σ = 101755092726. Its totient is φ = 16672620800.

The previous prime is 41681552779. The next prime is 41681552819. The reversal of 41681552800 is 825518614.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35870844816 + 5810707984 = 189396^2 + 76228^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26050171 + ... + 26051770.

Almost surely, 241681552800 is an apocalyptic number.

41681552800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41681552800 is an abundant number, since it is smaller than the sum of its proper divisors (60073539926).

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

41681552800 is a wasteful number, since it uses less digits than its factorization.

41681552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52101961 (or 52101948 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 41681552800 in words is "forty-one billion, six hundred eighty-one million, five hundred fifty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 52101941 104203882 208407764 260509705 416815528 521019410 833631056 1042038820 1302548525 1667262112 2084077640 2605097050 4168155280 5210194100 8336310560 10420388200 20840776400 41681552800