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41198168736 = 2532143049197
BaseRepresentation
bin100110010111100110…
…100010101010100000
310221100011121211000100
4212113212202222200
51133333212344421
630532015422400
72655633441054
oct462746425240
9127304554010
1041198168736
1116521323a3a
127b99224a00
133b6738534a
141dcb781c64
151111caec26
hex9979a2aa0

41198168736 has 36 divisors (see below), whose sum is σ = 117157293162. Its totient is φ = 13732722816.

The previous prime is 41198168729. The next prime is 41198168861. The reversal of 41198168736 is 63786189114.

It can be written as a sum of positive squares in only one way, i.e., 30884547600 + 10313621136 = 175740^2 + 101556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 71524311 + ... + 71524886.

Almost surely, 241198168736 is an apocalyptic number.

It is an amenable number.

41198168736 is an abundant number, since it is smaller than the sum of its proper divisors (75959124426).

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

41198168736 is a wasteful number, since it uses less digits than its factorization.

41198168736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143049213 (or 143049202 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 41198168736 in words is "forty-one billion, one hundred ninety-eight million, one hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 143049197 286098394 429147591 572196788 858295182 1144393576 1287442773 1716590364 2288787152 2574885546 3433180728 4577574304 5149771092 6866361456 10299542184 13732722912 20599084368 41198168736